1157674560 has 224 divisors, whose sum is σ = 4422282240. Its totient is φ = 250656768.

The previous prime is 1157674547. The next prime is 1157674597. The reversal of 1157674560 is 654767511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123147 + ... + 132213.

Almost surely, 2^1157674560 is an apocalyptic number.

1157674560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211141120).

1157674560 is an abundant number, since it is smaller than the sum of its proper divisors (3264607680).

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

1157674560 is a wasteful number, since it uses less digits than its factorization.

1157674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 1157674560 is about 34024.6169706582. The cubic root of 1157674560 is about 1050.0149839132.

The spelling of 1157674560 in words is "one billion, one hundred fifty-seven million, six hundred seventy-four thousand, five hundred sixty".