114294960 has 120 divisors (see below), whose sum is σ = 413400624. Its totient is φ = 28131840.

The previous prime is 114294959. The next prime is 114294979. The reversal of 114294960 is 69492411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255 + ... + 15465.

Almost surely, 2^114294960 is an apocalyptic number.

114294960 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 114294960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206700312).

114294960 is an abundant number, since it is smaller than the sum of its proper divisors (299105664).

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

114294960 is a wasteful number, since it uses less digits than its factorization.

114294960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114294960 is about 10690.8820964409. The cubic root of 114294960 is about 485.2985868200.

The spelling of 114294960 in words is "one hundred fourteen million, two hundred ninety-four thousand, nine hundred sixty".