113960 has 64 divisors (see below), whose sum is σ = 328320. Its totient is φ = 34560.

The previous prime is 113957. The next prime is 113963. The reversal of 113960 is 69311.

113960 = T₂₁₁ + T₂₁₂ + ... + T₂₁₅.

It is an interprime number because it is at equal distance from previous prime (113957) and next prime (113963).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3062 + ... + 3098.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2¹¹³⁹⁶⁰ is an apocalyptic number.

113960 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 113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

113960 is an abundant number, since it is smaller than the sum of its proper divisors (214360).

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

113960 is a wasteful number, since it uses less digits than its factorization.

113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 113960 is about 337.5796202380. The cubic root of 113960 is about 48.4824040750.

The spelling of 113960 in words is "one hundred thirteen thousand, nine hundred sixty".