113815620 has 72 divisors (see below), whose sum is σ = 348468120. Its totient is φ = 30067200.

The previous prime is 113815613. The next prime is 113815621. The reversal of 113815620 is 26518311.

113815620 is a `hidden beast` number, since 1 + 1 + 38 + 1 + 5 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52881984 + 60933636 = 7272^2 + 7806^2 .

It is not an unprimeable number, because it can be changed into a prime (113815621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16720 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (4839835).

Almost surely, 2^113815620 is an apocalyptic number.

113815620 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 113815620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174234060).

113815620 is an abundant number, since it is smaller than the sum of its proper divisors (234652500).

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

113815620 is a wasteful number, since it uses less digits than its factorization.

113815620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113815620 is about 10668.4403733629. The cubic root of 113815620 is about 484.6192072493.

The spelling of 113815620 in words is "one hundred thirteen million, eight hundred fifteen thousand, six hundred twenty".