114266880 has 432 divisors, whose sum is σ = 491050560. Its totient is φ = 23887872.

The previous prime is 114266863. The next prime is 114266881. The reversal of 114266880 is 88662411.

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

It is not an unprimeable number, because it can be changed into a prime (114266881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048266 + ... + 1048374.

Almost surely, 2^114266880 is an apocalyptic number.

114266880 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 114266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245525280).

114266880 is an abundant number, since it is smaller than the sum of its proper divisors (376783680).

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

114266880 is a wasteful number, since it uses less digits than its factorization.

114266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 114266880 is about 10689.5687471478. The cubic root of 114266880 is about 485.2588408258.

The spelling of 114266880 in words is "one hundred fourteen million, two hundred sixty-six thousand, eight hundred eighty".