1157976864 has 288 divisors, whose sum is σ = 3829291200. Its totient is φ = 337582080.

The previous prime is 1157976863. The next prime is 1157976887. The reversal of 1157976864 is 4686797511.

1157976864 is a `hidden beast` number, since 1 + 1 + 579 + 7 + 6 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1157976864.

It is not an unprimeable number, because it can be changed into a prime (1157976863) 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, 13010932 + ... + 13011020.

It is an arithmetic number, because the mean of its divisors is an integer number (13296150).

Almost surely, 2^1157976864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914645600).

1157976864 is an abundant number, since it is smaller than the sum of its proper divisors (2671314336).

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

1157976864 is a wasteful number, since it uses less digits than its factorization.

1157976864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1157976864 is about 34029.0591112949. The cubic root of 1157976864 is about 1050.1063728967.

The spelling of 1157976864 in words is "one billion, one hundred fifty-seven million, nine hundred seventy-six thousand, eight hundred sixty-four".