113567520 has 192 divisors, whose sum is σ = 395611776. Its totient is φ = 27156480.

The previous prime is 113567483. The next prime is 113567521. The reversal of 113567520 is 25765311.

It is a super-4 number, since 4×113567520⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113567521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723282 + ... + 723438.

It is an arithmetic number, because the mean of its divisors is an integer number (2060478).

Almost surely, 2^113567520 is an apocalyptic number.

113567520 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 113567520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197805888).

113567520 is an abundant number, since it is smaller than the sum of its proper divisors (282044256).

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

113567520 is a wasteful number, since it uses less digits than its factorization.

113567520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 113567520 is about 10656.8062758033. The cubic root of 113567520 is about 484.2668200727.

The spelling of 113567520 in words is "one hundred thirteen million, five hundred sixty-seven thousand, five hundred twenty".