1183891968 has 360 divisors, whose sum is σ = 4180780032. Its totient is φ = 315850752.

The previous prime is 1183891927. The next prime is 1183891979. The reversal of 1183891968 is 8691983811.

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

Its product of digits (746496) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9321921 + ... + 9322047.

Almost surely, 2^1183891968 is an apocalyptic number.

1183891968 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 1183891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090390016).

1183891968 is an abundant number, since it is smaller than the sum of its proper divisors (2996888064).

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

1183891968 is a wasteful number, since it uses less digits than its factorization.

1183891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 1183891968 is about 34407.7312242467. The cubic root of 1183891968 is about 1057.8823177103.

The spelling of 1183891968 in words is "one billion, one hundred eighty-three million, eight hundred ninety-one thousand, nine hundred sixty-eight".