1157968064 has 42 divisors (see below), whose sum is σ = 2525745012. Its totient is φ = 526345600.

The previous prime is 1157968013. The next prime is 1157968099. The reversal of 1157968064 is 4608697511.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67022 + ... + 82509.

It is an arithmetic number, because the mean of its divisors is an integer number (60136786).

Almost surely, 2^1157968064 is an apocalyptic number.

It is an amenable number.

1157968064 is an abundant number, since it is smaller than the sum of its proper divisors (1367776948).

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

1157968064 is a wasteful number, since it uses less digits than its factorization.

1157968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149565 (or 149544 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1157968064 is about 34028.9298097957. The cubic root of 1157968064 is about 1050.1037128092.

The spelling of 1157968064 in words is "one billion, one hundred fifty-seven million, nine hundred sixty-eight thousand, sixty-four".