1157230656 has 84 divisors (see below), whose sum is σ = 3329426412. Its totient is φ = 384297984.

The previous prime is 1157230649. The next prime is 1157230691. The reversal of 1157230656 is 6560327511.

1157230656 is a `hidden beast` number, since 1 + 1 + 572 + 30 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 510037056 + 647193600 = 22584^2 + 25440^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1157230656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155926 + ... + 163178.

Almost surely, 2^1157230656 is an apocalyptic number.

1157230656 is a gapful number since it is divisible by the number (16) 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 1157230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664713206).

1157230656 is an abundant number, since it is smaller than the sum of its proper divisors (2172195756).

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

1157230656 is a wasteful number, since it uses less digits than its factorization.

1157230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1157230656 is about 34018.0930682483. The cubic root of 1157230656 is about 1049.8807592483.

The spelling of 1157230656 in words is "one billion, one hundred fifty-seven million, two hundred thirty thousand, six hundred fifty-six".