113552320 has 112 divisors (see below), whose sum is σ = 311920128. Its totient is φ = 38568960.

The previous prime is 113552281. The next prime is 113552321. The reversal of 113552320 is 23255311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 113552291 and 113552300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113552321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364965 + ... + 365275.

Almost surely, 2^113552320 is an apocalyptic number.

113552320 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 113552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155960064).

113552320 is an abundant number, since it is smaller than the sum of its proper divisors (198367808).

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

113552320 is a wasteful number, since it uses less digits than its factorization.

113552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 113552320 is about 10656.0930926865. The cubic root of 113552320 is about 484.2452141767.

The spelling of 113552320 in words is "one hundred thirteen million, five hundred fifty-two thousand, three hundred twenty".