230647560 has 128 divisors (see below), whose sum is σ = 812972160. Its totient is φ = 51609600.

The previous prime is 230647559. The next prime is 230647561. The reversal of 230647560 is 65746032.

It is an interprime number because it is at equal distance from previous prime (230647559) and next prime (230647561).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (230647561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10440 + ... + 23880.

It is an arithmetic number, because the mean of its divisors is an integer number (6351345).

Almost surely, 2^230647560 is an apocalyptic number.

230647560 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 230647560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406486080).

230647560 is an abundant number, since it is smaller than the sum of its proper divisors (582324600).

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

230647560 is a wasteful number, since it uses less digits than its factorization.

230647560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 230647560 is about 15187.0853029803. The cubic root of 230647560 is about 613.2670362598.

The spelling of 230647560 in words is "two hundred thirty million, six hundred forty-seven thousand, five hundred sixty".