114406320 has 80 divisors (see below), whose sum is σ = 405331200. Its totient is φ = 26149632.

The previous prime is 114406309. The next prime is 114406343. The reversal of 114406320 is 23604411.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32370 + ... + 35729.

It is an arithmetic number, because the mean of its divisors is an integer number (5066640).

Almost surely, 2^114406320 is an apocalyptic number.

114406320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114406320 is an abundant number, since it is smaller than the sum of its proper divisors (290924880).

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

114406320 is a wasteful number, since it uses less digits than its factorization.

114406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68122 (or 68116 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114406320 is about 10696.0890048653. The cubic root of 114406320 is about 485.4561478895.

The spelling of 114406320 in words is "one hundred fourteen million, four hundred six thousand, three hundred twenty".