232877568 has 240 divisors, whose sum is σ = 783699840. Its totient is φ = 60149760.

The previous prime is 232877563. The next prime is 232877597. The reversal of 232877568 is 865778232.

232877568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232877563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300903 + ... + 1301081.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^232877568 is an apocalyptic number.

232877568 is a gapful number since it is divisible by the number (28) 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 232877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

232877568 is an abundant number, since it is smaller than the sum of its proper divisors (550822272).

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

232877568 is a wasteful number, since it uses less digits than its factorization.

232877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 232877568 is about 15260.3266020095. The cubic root of 232877568 is about 615.2371509224.

The spelling of 232877568 in words is "two hundred thirty-two million, eight hundred seventy-seven thousand, five hundred sixty-eight".