114042960 has 60 divisors (see below), whose sum is σ = 382996692. Its totient is φ = 30411264.

The previous prime is 114042949. The next prime is 114042983. The reversal of 114042960 is 69240411.

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 29550096 = 9192^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78477 + ... + 79916.

Almost surely, 2^114042960 is an apocalyptic number.

114042960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114042960 is an abundant number, since it is smaller than the sum of its proper divisors (268953732).

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

114042960 is a wasteful number, since it uses less digits than its factorization.

114042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158412 (or 158403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114042960 is about 10679.0898488588. The cubic root of 114042960 is about 484.9416587633.

It can be divided in two parts, 1140 and 42960, that added together give a square (44100 = 210²).

The spelling of 114042960 in words is "one hundred fourteen million, forty-two thousand, nine hundred sixty".