114583920 has 80 divisors (see below), whose sum is σ = 387510912. Its totient is φ = 27777280.

The previous prime is 114583913. The next prime is 114583943. The reversal of 114583920 is 29385411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19062 + ... + 24341.

Almost surely, 2^114583920 is an apocalyptic number.

114583920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114583920 is an abundant number, since it is smaller than the sum of its proper divisors (272926992).

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

114583920 is a wasteful number, since it uses less digits than its factorization.

114583920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43430 (or 43424 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 114583920 is about 10704.3878853487. The cubic root of 114583920 is about 485.7072192084.

The spelling of 114583920 in words is "one hundred fourteen million, five hundred eighty-three thousand, nine hundred twenty".