113733620 has 288 divisors, whose sum is σ = 354170880. Its totient is φ = 29652480.

The previous prime is 113733619. The next prime is 113733623. The reversal of 113733620 is 26337311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 113733620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113733623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4944929 + ... + 4944951.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 2^113733620 is an apocalyptic number.

113733620 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 113733620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

113733620 is an abundant number, since it is smaller than the sum of its proper divisors (240437260).

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

113733620 is a wasteful number, since it uses less digits than its factorization.

113733620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 113733620 is about 10664.5965699599. The cubic root of 113733620 is about 484.5027958046.

The spelling of 113733620 in words is "one hundred thirteen million, seven hundred thirty-three thousand, six hundred twenty".