114302880 has 96 divisors (see below), whose sum is σ = 400075200. Its totient is φ = 30479616.

The previous prime is 114302863. The next prime is 114302933. The reversal of 114302880 is 88203411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8910 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 2^114302880 is an apocalyptic number.

114302880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114302880 is an abundant number, since it is smaller than the sum of its proper divisors (285772320).

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

114302880 is a wasteful number, since it uses less digits than its factorization.

114302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26483 (or 26469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114302880 is about 10691.2524991228. The cubic root of 114302880 is about 485.3097960516.

The spelling of 114302880 in words is "one hundred fourteen million, three hundred two thousand, eight hundred eighty".