114064560 has 120 divisors (see below), whose sum is σ = 405643680. Its totient is φ = 28624896.

The previous prime is 114064547. The next prime is 114064579. The reversal of 114064560 is 65460411.

114064560 is a `hidden beast` number, since 1 + 1 + 40 + 64 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7581 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (3380364).

Almost surely, 2^114064560 is an apocalyptic number.

114064560 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 114064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202821840).

114064560 is an abundant number, since it is smaller than the sum of its proper divisors (291579120).

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

114064560 is a wasteful number, since it uses less digits than its factorization.

114064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114064560 is about 10680.1011231168. The cubic root of 114064560 is about 484.9722731873.

The spelling of 114064560 in words is "one hundred fourteen million, sixty-four thousand, five hundred sixty".