113296320 has 336 divisors, whose sum is σ = 426037248. Its totient is φ = 28615680.

The previous prime is 113296303. The next prime is 113296327. The reversal of 113296320 is 23692311.

113296320 is a `hidden beast` number, since 1 + 1 + 3 + 29 + 632 + 0 = 666.

It is a super-2 number, since 2×113296320² = 25672112251084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113296327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410537 + ... + 2410583.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^113296320 is an apocalyptic number.

113296320 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 113296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

113296320 is an abundant number, since it is smaller than the sum of its proper divisors (312740928).

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

113296320 is an equidigital number, since it uses as much as digits as its factorization.

113296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113296320 is about 10644.0744078572. The cubic root of 113296320 is about 483.8810353518.

The spelling of 113296320 in words is "one hundred thirteen million, two hundred ninety-six thousand, three hundred twenty".