114300960 has 192 divisors, whose sum is σ = 386104320. Its totient is φ = 28339200.

The previous prime is 114300959. The next prime is 114300971. The reversal of 114300960 is 69003411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114300960.

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, 756885 + ... + 757035.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^114300960 is an apocalyptic number.

114300960 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 114300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

114300960 is an abundant number, since it is smaller than the sum of its proper divisors (271803360).

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

114300960 is a wasteful number, since it uses less digits than its factorization.

114300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 114300960 is about 10691.1627057117. The cubic root of 114300960 is about 485.3070787096.

The spelling of 114300960 in words is "one hundred fourteen million, three hundred thousand, nine hundred sixty".