115441632 has 96 divisors (see below), whose sum is σ = 343193760. Its totient is φ = 37739520.

The previous prime is 115441607. The next prime is 115441637. The reversal of 115441632 is 236144511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115441596 and 115441605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115441637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44532 + ... + 47052.

It is an arithmetic number, because the mean of its divisors is an integer number (3574935).

Almost surely, 2^115441632 is an apocalyptic number.

115441632 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 115441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171596880).

115441632 is an abundant number, since it is smaller than the sum of its proper divisors (227752128).

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

115441632 is a wasteful number, since it uses less digits than its factorization.

115441632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2579 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115441632 is about 10744.3767618229. The cubic root of 115441632 is about 486.9161198993.

The spelling of 115441632 in words is "one hundred fifteen million, four hundred forty-one thousand, six hundred thirty-two".