114879600 has 240 divisors, whose sum is σ = 446519040. Its totient is φ = 27820800.

The previous prime is 114879599. The next prime is 114879613. The reversal of 114879600 is 6978411.

114879600 is a `hidden beast` number, since 1 + 1 + 48 + 7 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118317 + ... + 119283.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^114879600 is an apocalyptic number.

114879600 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 114879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223259520).

114879600 is an abundant number, since it is smaller than the sum of its proper divisors (331639440).

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

114879600 is a wasteful number, since it uses less digits than its factorization.

114879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 114879600 is about 10718.1901457289. The cubic root of 114879600 is about 486.1246441463.

The spelling of 114879600 in words is "one hundred fourteen million, eight hundred seventy-nine thousand, six hundred".