113760 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 29952.

The previous prime is 113759. The next prime is 113761. The reversal of 113760 is 67311.

It is an interprime number because it is at equal distance from previous prime (113759) and next prime (113761).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113760.

It is not an unprimeable number, because it can be changed into a prime (113761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2¹¹³⁷⁶⁰ is an apocalyptic number.

113760 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 113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

113760 is an abundant number, since it is smaller than the sum of its proper divisors (279360).

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

113760 is a wasteful number, since it uses less digits than its factorization.

113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113760 is about 337.2832637413. The cubic root of 113760 is about 48.4540252321.

The spelling of 113760 in words is "one hundred thirteen thousand, seven hundred sixty".