114906792 has 128 divisors (see below), whose sum is σ = 385781760. Its totient is φ = 27544320.

The previous prime is 114906721. The next prime is 114906811. The reversal of 114906792 is 297609411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 114906792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21633 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^114906792 is an apocalyptic number.

114906792 is a gapful number since it is divisible by the number (12) 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 114906792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192890880).

114906792 is an abundant number, since it is smaller than the sum of its proper divisors (270874968).

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

114906792 is a wasteful number, since it uses less digits than its factorization.

114906792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 114906792 is about 10719.4585684166. The cubic root of 114906792 is about 486.1629963530.

The spelling of 114906792 in words is "one hundred fourteen million, nine hundred six thousand, seven hundred ninety-two".