1159031808 has 352 divisors, whose sum is σ = 3883077120. Its totient is φ = 338411520.

The previous prime is 1159031807. The next prime is 1159031833. The reversal of 1159031808 is 8081309511.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1159031807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11252685 + ... + 11252787.

Almost surely, 2^1159031808 is an apocalyptic number.

1159031808 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 1159031808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941538560).

1159031808 is an abundant number, since it is smaller than the sum of its proper divisors (2724045312).

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

1159031808 is a wasteful number, since it uses less digits than its factorization.

1159031808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1159031808 is about 34044.5562168168. The cubic root of 1159031808 is about 1050.4251665936.

It can be divided in two parts, 115903 and 1808, that added together give a palindrome (117711).

The spelling of 1159031808 in words is "one billion, one hundred fifty-nine million, thirty-one thousand, eight hundred eight".