114559920 has 240 divisors, whose sum is σ = 409473792. Its totient is φ = 29756160.

The previous prime is 114559919. The next prime is 114559927. The reversal of 114559920 is 29955411.

114559920 is a `hidden beast` number, since 1 + 1 + 45 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114559927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380199 + ... + 1380281.

Almost surely, 2^114559920 is an apocalyptic number.

114559920 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 114559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

114559920 is an abundant number, since it is smaller than the sum of its proper divisors (294913872).

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

114559920 is an equidigital number, since it uses as much as digits as its factorization.

114559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 114559920 is about 10703.2667910316. The cubic root of 114559920 is about 485.6733058193.

The spelling of 114559920 in words is "one hundred fourteen million, five hundred fifty-nine thousand, nine hundred twenty".