114360960 has 256 divisors, whose sum is σ = 426147840. Its totient is φ = 25546752.

The previous prime is 114360959. The next prime is 114360971. The reversal of 114360960 is 69063411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 900417 + ... + 900543.

It is an arithmetic number, because the mean of its divisors is an integer number (1664640).

Almost surely, 2^114360960 is an apocalyptic number.

114360960 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 114360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213073920).

114360960 is an abundant number, since it is smaller than the sum of its proper divisors (311786880).

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

114360960 is a wasteful number, since it uses less digits than its factorization.

114360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 114360960 is about 10693.9683934450. The cubic root of 114360960 is about 485.3919812662.

The spelling of 114360960 in words is "one hundred fourteen million, three hundred sixty thousand, nine hundred sixty".