115632 has 60 divisors (see below), whose sum is σ = 357864. Its totient is φ = 34560.

The previous prime is 115631. The next prime is 115637. The reversal of 115632 is 236511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115632.

It is not an unprimeable number, because it can be changed into a prime (115631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1548 + ... + 1620.

2¹¹⁵⁶³² is an apocalyptic number.

115632 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 115632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178932).

115632 is an abundant number, since it is smaller than the sum of its proper divisors (242232).

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

115632 is a wasteful number, since it uses less digits than its factorization.

115632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 115632 is about 340.0470555673. The cubic root of 115632 is about 48.7183621150.

It can be divided in two parts, 115 and 632, that added together give a palindrome (747).

The spelling of 115632 in words is "one hundred fifteen thousand, six hundred thirty-two".