114908560 has 80 divisors (see below), whose sum is σ = 289450224. Its totient is φ = 42172416.

The previous prime is 114908557. The next prime is 114908579. The reversal of 114908560 is 65809411.

It can be written as a sum of positive squares in 8 ways, for example, as 43877376 + 71031184 = 6624^2 + 8428^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114908560² = 26407954322547200, which contains 22 as substring.

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, 325344 + ... + 325696.

Almost surely, 2^114908560 is an apocalyptic number.

114908560 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 114908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144725112).

114908560 is an abundant number, since it is smaller than the sum of its proper divisors (174541664).

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

114908560 is a wasteful number, since it uses less digits than its factorization.

114908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 114908560 is about 10719.5410349511. The cubic root of 114908560 is about 486.1654897704.

The spelling of 114908560 in words is "one hundred fourteen million, nine hundred eight thousand, five hundred sixty".