114260580 has 288 divisors, whose sum is σ = 424569600. Its totient is φ = 24321024.

The previous prime is 114260579. The next prime is 114260599. The reversal of 114260580 is 85062411.

114260580 is a `hidden beast` number, since 11 + 42 + 605 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1936591 + ... + 1936649.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^114260580 is an apocalyptic number.

114260580 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 114260580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

114260580 is an abundant number, since it is smaller than the sum of its proper divisors (310309020).

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

114260580 is a wasteful number, since it uses less digits than its factorization.

114260580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114260580 is about 10689.2740632842. The cubic root of 114260580 is about 485.2499225610.

The spelling of 114260580 in words is "one hundred fourteen million, two hundred sixty thousand, five hundred eighty".