115690400 has 144 divisors (see below), whose sum is σ = 328353984. Its totient is φ = 38983680.

The previous prime is 115690319. The next prime is 115690427. The reversal of 115690400 is 4096511.

It is a self number, because there is not a number n which added to its sum of digits gives 115690400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408659 + ... + 408941.

It is an arithmetic number, because the mean of its divisors is an integer number (2280236).

Almost surely, 2^115690400 is an apocalyptic number.

115690400 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 115690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164176992).

115690400 is an abundant number, since it is smaller than the sum of its proper divisors (212663584).

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

115690400 is a wasteful number, since it uses less digits than its factorization.

115690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 115690400 is about 10755.9471921351. The cubic root of 115690400 is about 487.2656247910.

The spelling of 115690400 in words is "one hundred fifteen million, six hundred ninety thousand, four hundred".