113842560 has 128 divisors (see below), whose sum is σ = 390872160. Its totient is φ = 28016640.

The previous prime is 113842559. The next prime is 113842613. The reversal of 113842560 is 65248311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 22680 + ... + 27240.

Almost surely, 2^113842560 is an apocalyptic number.

113842560 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 113842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195436080).

113842560 is an abundant number, since it is smaller than the sum of its proper divisors (277029600).

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

113842560 is a wasteful number, since it uses less digits than its factorization.

113842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 113842560 is about 10669.7029012058. The cubic root of 113842560 is about 484.6574404652.

The spelling of 113842560 in words is "one hundred thirteen million, eight hundred forty-two thousand, five hundred sixty".