114087680 has 216 divisors, whose sum is σ = 339737328. Its totient is φ = 36470784.

The previous prime is 114087679. The next prime is 114087691. The reversal of 114087680 is 86780411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114087680.

It is a congruent number.

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, 1066187 + ... + 1066293.

It is an arithmetic number, because the mean of its divisors is an integer number (1572858).

Almost surely, 2^114087680 is an apocalyptic number.

114087680 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 114087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169868664).

114087680 is an abundant number, since it is smaller than the sum of its proper divisors (225649648).

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

114087680 is a wasteful number, since it uses less digits than its factorization.

114087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 114087680 is about 10681.1834550297. The cubic root of 114087680 is about 485.0050376775.

The spelling of 114087680 in words is "one hundred fourteen million, eighty-seven thousand, six hundred eighty".