114602880 has 128 divisors (see below), whose sum is σ = 417530880. Its totient is φ = 26191872.

The previous prime is 114602863. The next prime is 114602893. The reversal of 114602880 is 88206411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 9177 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (3261960).

Almost surely, 2^114602880 is an apocalyptic number.

114602880 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 114602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208765440).

114602880 is an abundant number, since it is smaller than the sum of its proper divisors (302928000).

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

114602880 is an equidigital number, since it uses as much as digits as its factorization.

114602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 114602880 is about 10705.2734668480. The cubic root of 114602880 is about 485.7340074378.

The spelling of 114602880 in words is "one hundred fourteen million, six hundred two thousand, eight hundred eighty".