1157964416 has 32 divisors (see below), whose sum is σ = 2636438880. Its totient is φ = 496270080.

The previous prime is 1157964391. The next prime is 1157964433. The reversal of 1157964416 is 6144697511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 645290 + ... + 647081.

It is an arithmetic number, because the mean of its divisors is an integer number (82388715).

Almost surely, 2^1157964416 is an apocalyptic number.

1157964416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1157964416 is an abundant number, since it is smaller than the sum of its proper divisors (1478474464).

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

1157964416 is an equidigital number, since it uses as much as digits as its factorization.

1157964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292392 (or 1292380 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 1157964416 is about 34028.8762083029. The cubic root of 1157964416 is about 1050.1026100780.

The spelling of 1157964416 in words is "one billion, one hundred fifty-seven million, nine hundred sixty-four thousand, four hundred sixteen".