1157006656 has 28 divisors (see below), whose sum is σ = 2472547252. Its totient is φ = 534002688.

The previous prime is 1157006597. The next prime is 1157006657. The reversal of 1157006656 is 6566007511.

It can be written as a sum of positive squares in 2 ways, for example, as 581774400 + 575232256 = 24120^2 + 23984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157006657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694485 + ... + 696148.

It is an arithmetic number, because the mean of its divisors is an integer number (88305259).

Almost surely, 2^1157006656 is an apocalyptic number.

1157006656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1157006656 is an abundant number, since it is smaller than the sum of its proper divisors (1315540596).

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

1157006656 is a wasteful number, since it uses less digits than its factorization.

1157006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390658 (or 1390648 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 1157006656 is about 34014.8005432929. The cubic root of 1157006656 is about 1049.8130146248.

The spelling of 1157006656 in words is "one billion, one hundred fifty-seven million, six thousand, six hundred fifty-six".