1187923968 has 576 divisors, whose sum is σ = 4579061760. Its totient is φ = 298598400.

The previous prime is 1187923967. The next prime is 1187923969. The reversal of 1187923968 is 8693297811.

It is an interprime number because it is at equal distance from previous prime (1187923967) and next prime (1187923969).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1187923968² = 2822326707497730048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1306368) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187923967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38320113 + ... + 38320143.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2^1187923968 is an apocalyptic number.

1187923968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1187923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289530880).

1187923968 is an abundant number, since it is smaller than the sum of its proper divisors (3391137792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1187923968 is an equidigital number, since it uses as much as digits as its factorization.

1187923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1187923968 is about 34466.2729055522. The cubic root of 1187923968 is about 1059.0819058864.

It can be divided in two parts, 118792 and 3968, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1187923968 in words is "one billion, one hundred eighty-seven million, nine hundred twenty-three thousand, nine hundred sixty-eight".