113966160 has 240 divisors, whose sum is σ = 448846272. Its totient is φ = 23654400.

The previous prime is 113966141. The next prime is 113966189. The reversal of 113966160 is 61669311.

113966160 = T₁ + T₂ + ... + T₈₈₀.

113966160 is a nontrivial binomial coefficient, being equal to C(882, 3).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is the 880-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128920 + ... + 129800.

Almost surely, 2^113966160 is an apocalyptic number.

113966160 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 113966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

113966160 is an abundant number, since it is smaller than the sum of its proper divisors (334880112).

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

113966160 is a wasteful number, since it uses less digits than its factorization.

113966160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 113966160 is about 10675.4934312190. The cubic root of 113966160 is about 484.8327761609.

The spelling of 113966160 in words is "one hundred thirteen million, nine hundred sixty-six thousand, one hundred sixty".