114260760 has 128 divisors (see below), whose sum is σ = 389145600. Its totient is φ = 29808000.

The previous prime is 114260759. The next prime is 114260767. The reversal of 114260760 is 67062411.

114260760 is a `hidden beast` number, since 11 + 42 + 607 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114260767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49635 + ... + 51885.

It is an arithmetic number, because the mean of its divisors is an integer number (3040200).

Almost surely, 2^114260760 is an apocalyptic number.

114260760 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 114260760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194572800).

114260760 is an abundant number, since it is smaller than the sum of its proper divisors (274884840).

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

114260760 is a wasteful number, since it uses less digits than its factorization.

114260760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114260760 is about 10689.2824829359. The cubic root of 114260760 is about 485.2501773731.

The spelling of 114260760 in words is "one hundred fourteen million, two hundred sixty thousand, seven hundred sixty".