114990624 has 96 divisors (see below), whose sum is σ = 383322240. Its totient is φ = 32852736.

The previous prime is 114990613. The next prime is 114990637. The reversal of 114990624 is 426099411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3459 + ... + 15554.

It is an arithmetic number, because the mean of its divisors is an integer number (3992940).

Almost surely, 2^114990624 is an apocalyptic number.

114990624 is a gapful number since it is divisible by the number (14) 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 114990624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191661120).

114990624 is an abundant number, since it is smaller than the sum of its proper divisors (268331616).

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

114990624 is a wasteful number, since it uses less digits than its factorization.

114990624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19039 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114990624 is about 10723.3681275987. The cubic root of 114990624 is about 486.2811968186.

The spelling of 114990624 in words is "one hundred fourteen million, nine hundred ninety thousand, six hundred twenty-four".