1157657616 has 40 divisors (see below), whose sum is σ = 3322907360. Its totient is φ = 385885728.

The previous prime is 1157657587. The next prime is 1157657639. The reversal of 1157657616 is 6167567511.

1157657616 is a `hidden beast` number, since 1 + 1 + 5 + 76 + 576 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339450 + ... + 1340313.

It is an arithmetic number, because the mean of its divisors is an integer number (83072684).

Almost surely, 2^1157657616 is an apocalyptic number.

1157657616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1157657616 is an abundant number, since it is smaller than the sum of its proper divisors (2165249744).

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

1157657616 is a wasteful number, since it uses less digits than its factorization.

1157657616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679780 (or 2679768 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 1157657616 is about 34024.3679735568. The cubic root of 1157657616 is about 1050.0098611319.

The spelling of 1157657616 in words is "one billion, one hundred fifty-seven million, six hundred fifty-seven thousand, six hundred sixteen".