1187664768 has 160 divisors (see below), whose sum is σ = 3721113000. Its totient is φ = 374989824.

The previous prime is 1187664767. The next prime is 1187664769. The reversal of 1187664768 is 8674667811.

It is an interprime number because it is at equal distance from previous prime (1187664767) and next prime (1187664769).

It is a super-2 number, since 2×1187664768² = 2821095202296987648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187664767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193978 + ... + 200006.

Almost surely, 2^1187664768 is an apocalyptic number.

1187664768 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 1187664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860556500).

1187664768 is an abundant number, since it is smaller than the sum of its proper divisors (2533448232).

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

1187664768 is an equidigital number, since it uses as much as digits as its factorization.

1187664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6053 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1187664768 is about 34462.5125027181. The cubic root of 1187664768 is about 1059.0048712148.

The spelling of 1187664768 in words is "one billion, one hundred eighty-seven million, six hundred sixty-four thousand, seven hundred sixty-eight".