115632400 has 120 divisors (see below), whose sum is σ = 307773704. Its totient is φ = 41472000.

The previous prime is 115632397. The next prime is 115632401. The reversal of 115632400 is 4236511.

It can be written as a sum of positive squares in 12 ways, for example, as 11102224 + 104530176 = 3332^2 + 10224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115632401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192100 + ... + 192700.

Almost surely, 2^115632400 is an apocalyptic number.

115632400 is a gapful number since it is divisible by the number (10) 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 115632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153886852).

115632400 is an abundant number, since it is smaller than the sum of its proper divisors (192141304).

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

115632400 is a wasteful number, since it uses less digits than its factorization.

115632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 115632400 is about 10753.2506713087. The cubic root of 115632400 is about 487.1841829128.

Adding to 115632400 its reverse (4236511), we get a palindrome (119868911).

It can be divided in two parts, 1156 and 32400, that multiplied together give a square (37454400 = 6120²).

The spelling of 115632400 in words is "one hundred fifteen million, six hundred thirty-two thousand, four hundred".