113436960 has 384 divisors, whose sum is σ = 457228800. Its totient is φ = 23482368.

The previous prime is 113436929. The next prime is 113436979. The reversal of 113436960 is 69634311.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2140294 + ... + 2140346.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^113436960 is an apocalyptic number.

113436960 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 113436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

113436960 is an abundant number, since it is smaller than the sum of its proper divisors (343791840).

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

113436960 is a wasteful number, since it uses less digits than its factorization.

113436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 113436960 is about 10650.6788516038. The cubic root of 113436960 is about 484.0811739179.

The spelling of 113436960 in words is "one hundred thirteen million, four hundred thirty-six thousand, nine hundred sixty".