232288560 has 280 divisors, whose sum is σ = 927038880. Its totient is φ = 53001216.

The previous prime is 232288543. The next prime is 232288571. The reversal of 232288560 is 65882232.

It is a tau number, because it is divible by the number of its divisors (280).

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 55 ways as a sum of consecutive naturals, for example, 407956 + ... + 408524.

Almost surely, 2^232288560 is an apocalyptic number.

232288560 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 232288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463519440).

232288560 is an abundant number, since it is smaller than the sum of its proper divisors (694750320).

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

232288560 is an equidigital number, since it uses as much as digits as its factorization.

232288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 232288560 is about 15241.0157141839. The cubic root of 232288560 is about 614.7180146878.

The spelling of 232288560 in words is "two hundred thirty-two million, two hundred eighty-eight thousand, five hundred sixty".