115261632 has 168 divisors, whose sum is σ = 356616000. Its totient is φ = 35463168.

The previous prime is 115261609. The next prime is 115261637. The reversal of 115261632 is 236162511.

115261632 is a `hidden beast` number, since 1 + 1 + 5 + 26 + 1 + 632 = 666.

It is a super-2 number, since 2×115261632² = 26570487622606848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115261596 and 115261605.

It is not an unprimeable number, because it can be changed into a prime (115261637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773494 + ... + 773642.

Almost surely, 2^115261632 is an apocalyptic number.

115261632 is a gapful number since it is divisible by the number (12) 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 115261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308000).

115261632 is an abundant number, since it is smaller than the sum of its proper divisors (241354368).

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

115261632 is a wasteful number, since it uses less digits than its factorization.

115261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 115261632 is about 10735.9970193737. The cubic root of 115261632 is about 486.6629169245.

The spelling of 115261632 in words is "one hundred fifteen million, two hundred sixty-one thousand, six hundred thirty-two".