230912640 has 512 divisors, whose sum is σ = 987033600. Its totient is φ = 49876992.

The previous prime is 230912639. The next prime is 230912659. The reversal of 230912640 is 46219032.

230912640 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 12 + 640 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782039 + ... + 2782121.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^230912640 is an apocalyptic number.

230912640 is a gapful number since it is divisible by the number (20) 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 230912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

230912640 is an abundant number, since it is smaller than the sum of its proper divisors (756120960).

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

230912640 is a wasteful number, since it uses less digits than its factorization.

230912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230912640 is about 15195.8099487984. The cubic root of 230912640 is about 613.5018860422.

The spelling of 230912640 in words is "two hundred thirty million, nine hundred twelve thousand, six hundred forty".