114020640 has 72 divisors (see below), whose sum is σ = 389100348. Its totient is φ = 30405120.

The previous prime is 114020639. The next prime is 114020689. The reversal of 114020640 is 46020411.

114020640 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 20 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113294736 + 725904 = 10644^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 38151 + ... + 41030.

Almost surely, 2^114020640 is an apocalyptic number.

114020640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114020640 is an abundant number, since it is smaller than the sum of its proper divisors (275079708).

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

114020640 is a wasteful number, since it uses less digits than its factorization.

114020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79202 (or 79191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114020640 is about 10678.0447648434. The cubic root of 114020640 is about 484.9100197972.

The spelling of 114020640 in words is "one hundred fourteen million, twenty thousand, six hundred forty".