114871680 has 576 divisors, whose sum is σ = 516980880. Its totient is φ = 23224320.

The previous prime is 114871651. The next prime is 114871693. The reversal of 114871680 is 86178411.

114871680 is a `hidden beast` number, since 11 + 487 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3104622 + ... + 3104658.

Almost surely, 2^114871680 is an apocalyptic number.

114871680 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 114871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258490440).

114871680 is an abundant number, since it is smaller than the sum of its proper divisors (402109200).

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

114871680 is a wasteful number, since it uses less digits than its factorization.

114871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 114871680 is about 10717.8206739990. The cubic root of 114871680 is about 486.1134724626.

The spelling of 114871680 in words is "one hundred fourteen million, eight hundred seventy-one thousand, six hundred eighty".