113820768 has 96 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 37542528.

The previous prime is 113820731. The next prime is 113820779. The reversal of 113820768 is 867028311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88353 + ... + 89631.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^113820768 is an apocalyptic number.

113820768 is a gapful number since it is divisible by the number (18) 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 113820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

113820768 is an abundant number, since it is smaller than the sum of its proper divisors (221641632).

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

113820768 is a wasteful number, since it uses less digits than its factorization.

113820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 113820768 is about 10668.6816430148. The cubic root of 113820768 is about 484.6265137510.

The spelling of 113820768 in words is "one hundred thirteen million, eight hundred twenty thousand, seven hundred sixty-eight".