114607920 has 80 divisors (see below), whose sum is σ = 406045440. Its totient is φ = 26195712.

The previous prime is 114607901. The next prime is 114607939. The reversal of 114607920 is 29706411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114607901) and next prime (114607939).

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 (30).

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, 32430 + ... + 35789.

It is an arithmetic number, because the mean of its divisors is an integer number (5075568).

Almost surely, 2^114607920 is an apocalyptic number.

114607920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114607920 is an abundant number, since it is smaller than the sum of its proper divisors (291437520).

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

114607920 is a wasteful number, since it uses less digits than its factorization.

114607920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68242 (or 68236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 114607920 is about 10705.5088622634. The cubic root of 114607920 is about 485.7411278624.

The spelling of 114607920 in words is "one hundred fourteen million, six hundred seven thousand, nine hundred twenty".