115465632 has 96 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 35893248.

The previous prime is 115465631. The next prime is 115465639. The reversal of 115465632 is 236564511.

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

It is a junction number, because it is equal to n+sod(n) for n = 115465593 and 115465602.

It is not an unprimeable number, because it can be changed into a prime (115465631) 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, 226594 + ... + 227102.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^115465632 is an apocalyptic number.

115465632 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 115465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

115465632 is an abundant number, since it is smaller than the sum of its proper divisors (208404768).

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

115465632 is a wasteful number, since it uses less digits than its factorization.

115465632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 115465632 is about 10745.4935670727. The cubic root of 115465632 is about 486.9498604050.

The spelling of 115465632 in words is "one hundred fifteen million, four hundred sixty-five thousand, six hundred thirty-two".