114925824 has 144 divisors (see below), whose sum is σ = 366284800. Its totient is φ = 35334144.

The previous prime is 114925807. The next prime is 114925841. The reversal of 114925824 is 428529411.

It is an interprime number because it is at equal distance from previous prime (114925807) and next prime (114925841).

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 89217 + ... + 90495.

Almost surely, 2^114925824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183142400).

114925824 is an abundant number, since it is smaller than the sum of its proper divisors (251358976).

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

114925824 is a wasteful number, since it uses less digits than its factorization.

114925824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1297 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 114925824 is about 10720.3462630645. The cubic root of 114925824 is about 486.1898359134.

The spelling of 114925824 in words is "one hundred fourteen million, nine hundred twenty-five thousand, eight hundred twenty-four".