114656160 has 96 divisors (see below), whose sum is σ = 382439232. Its totient is φ = 28774400.

The previous prime is 114656159. The next prime is 114656161. The reversal of 114656160 is 61656411.

It is an interprime number because it is at equal distance from previous prime (114656159) and next prime (114656161).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (114656161) 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, 1135 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (3983742).

Almost surely, 2^114656160 is an apocalyptic number.

114656160 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 114656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191219616).

114656160 is an abundant number, since it is smaller than the sum of its proper divisors (267783072).

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

114656160 is a wasteful number, since it uses less digits than its factorization.

114656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14086 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 114656160 is about 10707.7616708629. The cubic root of 114656160 is about 485.8092699395.

The spelling of 114656160 in words is "one hundred fourteen million, six hundred fifty-six thousand, one hundred sixty".