114664600 has 48 divisors (see below), whose sum is σ = 267505200. Its totient is φ = 45709440.

The previous prime is 114664597. The next prime is 114664619. The reversal of 114664600 is 6466411.

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 11 ways as a sum of consecutive naturals, for example, 71002 + ... + 72598.

It is an arithmetic number, because the mean of its divisors is an integer number (5573025).

Almost surely, 2^114664600 is an apocalyptic number.

114664600 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 114664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133752600).

114664600 is an abundant number, since it is smaller than the sum of its proper divisors (152840600).

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

114664600 is a wasteful number, since it uses less digits than its factorization.

114664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 114664600 is about 10708.1557702529. The cubic root of 114664600 is about 485.8211900132.

The spelling of 114664600 in words is "one hundred fourteen million, six hundred sixty-four thousand, six hundred".