114492960 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 28717056.

The previous prime is 114492953. The next prime is 114492971. The reversal of 114492960 is 69294411.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 72661 + ... + 74219.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^114492960 is an apocalyptic number.

114492960 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 114492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

114492960 is an abundant number, since it is smaller than the sum of its proper divisors (310076640).

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

114492960 is a wasteful number, since it uses less digits than its factorization.

114492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1586 counting only the distinct ones).

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

The square root of 114492960 is about 10700.1383168630. The cubic root of 114492960 is about 485.5786624143.

The spelling of 114492960 in words is "one hundred fourteen million, four hundred ninety-two thousand, nine hundred sixty".