115656320 has 64 divisors (see below), whose sum is σ = 297780840. Its totient is φ = 42700800.

The previous prime is 115656293. The next prime is 115656329. The reversal of 115656320 is 23656511.

It can be written as a sum of positive squares in 4 ways, for example, as 90174016 + 25482304 = 9496^2 + 5048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (115656329) 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 7 ways as a sum of consecutive naturals, for example, 1370 + ... + 15270.

Almost surely, 2^115656320 is an apocalyptic number.

115656320 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 115656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148890420).

115656320 is an abundant number, since it is smaller than the sum of its proper divisors (182124520).

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

115656320 is a wasteful number, since it uses less digits than its factorization.

115656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 115656320 is about 10754.3628356123. The cubic root of 115656320 is about 487.2177739657.

The spelling of 115656320 in words is "one hundred fifteen million, six hundred fifty-six thousand, three hundred twenty".