1157416960 has 192 divisors, whose sum is σ = 3234591360. Its totient is φ = 389283840.

The previous prime is 1157416927. The next prime is 1157416979. The reversal of 1157416960 is 696147511.

It is a super-2 number, since 2×1157416960² = 2679228038591283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4802440 + ... + 4802680.

It is an arithmetic number, because the mean of its divisors is an integer number (16846830).

Almost surely, 2^1157416960 is an apocalyptic number.

1157416960 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 1157416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

1157416960 is an abundant number, since it is smaller than the sum of its proper divisors (2077174400).

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

1157416960 is an equidigital number, since it uses as much as digits as its factorization.

1157416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 1157416960 is about 34020.8312655643. The cubic root of 1157416960 is about 1049.9370967608.

The spelling of 1157416960 in words is "one billion, one hundred fifty-seven million, four hundred sixteen thousand, nine hundred sixty".