115981632 has 140 divisors (see below), whose sum is σ = 370467636. Its totient is φ = 35665920.

The previous prime is 115981601. The next prime is 115981637. The reversal of 115981632 is 236189511.

115981632 is a `hidden beast` number, since 1 + 1 + 598 + 1 + 63 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 66194496 = 7056^2 + 8136^2 .

It is a super-2 number, since 2×115981632² = 26903477922766848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115981637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66532 + ... + 68252.

Almost surely, 2^115981632 is an apocalyptic number.

115981632 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 115981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185233818).

115981632 is an abundant number, since it is smaller than the sum of its proper divisors (254486004).

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

115981632 is a wasteful number, since it uses less digits than its factorization.

115981632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1739 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115981632 is about 10769.4768675178. The cubic root of 115981632 is about 487.6741531632.

The spelling of 115981632 in words is "one hundred fifteen million, nine hundred eighty-one thousand, six hundred thirty-two".