230082624 has 84 divisors (see below), whose sum is σ = 698313564. Its totient is φ = 72179712.

The previous prime is 230082617. The next prime is 230082631. The reversal of 230082624 is 426280032.

230082624 is a `hidden beast` number, since 2 + 30 + 0 + 8 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (230082617) and next prime (230082631).

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 49449024 = 13440^2 + 7032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1957 + ... + 21540.

Almost surely, 2^230082624 is an apocalyptic number.

230082624 is a gapful number since it is divisible by the number (24) 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 230082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349156782).

230082624 is an abundant number, since it is smaller than the sum of its proper divisors (468230940).

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

230082624 is a wasteful number, since it uses less digits than its factorization.

230082624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23532 (or 23519 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230082624 is about 15168.4746761169. The cubic root of 230082624 is about 612.7659255664.

The spelling of 230082624 in words is "two hundred thirty million, eighty-two thousand, six hundred twenty-four".