114577920 has 120 divisors (see below), whose sum is σ = 396895356. Its totient is φ = 30547968.

The previous prime is 114577913. The next prime is 114577933. The reversal of 114577920 is 29775411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 2304 = 10704^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 20554 + ... + 25526.

Almost surely, 2^114577920 is an apocalyptic number.

114577920 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 114577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198447678).

114577920 is an abundant number, since it is smaller than the sum of its proper divisors (282317436).

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

114577920 is an equidigital number, since it uses as much as digits as its factorization.

114577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 114577920 is about 10704.1076227773. The cubic root of 114577920 is about 485.6987413051.

The spelling of 114577920 in words is "one hundred fourteen million, five hundred seventy-seven thousand, nine hundred twenty".