114556680 has 160 divisors (see below), whose sum is σ = 440130240. Its totient is φ = 26179200.

The previous prime is 114556657. The next prime is 114556697. The reversal of 114556680 is 86655411.

114556680 is a `hidden beast` number, since 1 + 14 + 5 + 566 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20155 + ... + 25205.

It is an arithmetic number, because the mean of its divisors is an integer number (2750814).

Almost surely, 2^114556680 is an apocalyptic number.

114556680 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 114556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220065120).

114556680 is an abundant number, since it is smaller than the sum of its proper divisors (325573560).

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

114556680 is a wasteful number, since it uses less digits than its factorization.

114556680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 114556680 is about 10703.1154343023. The cubic root of 114556680 is about 485.6687271489.

The spelling of 114556680 in words is "one hundred fourteen million, five hundred fifty-six thousand, six hundred eighty".