115292632 has 128 divisors (see below), whose sum is σ = 283852800. Its totient is φ = 42674688.

The previous prime is 115292599. The next prime is 115292633. The reversal of 115292632 is 236292511.

It is a junction number, because it is equal to n+sod(n) for n = 115292594 and 115292603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115292633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907753 + ... + 907879.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 2^115292632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115292632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141926400).

115292632 is an abundant number, since it is smaller than the sum of its proper divisors (168560168).

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

115292632 is a wasteful number, since it uses less digits than its factorization.

115292632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 115292632 is about 10737.4406633983. The cubic root of 115292632 is about 486.7065428846.

It can be divided in two parts, 11529 and 2632, that added together give a square (14161 = 119²).

The spelling of 115292632 in words is "one hundred fifteen million, two hundred ninety-two thousand, six hundred thirty-two".