232735680 has 336 divisors, whose sum is σ = 862059744. Its totient is φ = 59719680.

The previous prime is 232735663. The next prime is 232735687. The reversal of 232735680 is 86537232.

232735680 is a `hidden beast` number, since 23 + 2 + 73 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232735687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188124 + ... + 3188196.

It is an arithmetic number, because the mean of its divisors is an integer number (2565654).

Almost surely, 2^232735680 is an apocalyptic number.

232735680 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 232735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431029872).

232735680 is an abundant number, since it is smaller than the sum of its proper divisors (629324064).

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

232735680 is an equidigital number, since it uses as much as digits as its factorization.

232735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 232735680 is about 15255.6769761292. The cubic root of 232735680 is about 615.1121746603.

The spelling of 232735680 in words is "two hundred thirty-two million, seven hundred thirty-five thousand, six hundred eighty".