232839264 has 96 divisors (see below), whose sum is σ = 721115136. Its totient is φ = 64373760.

The previous prime is 232839263. The next prime is 232839283. The reversal of 232839264 is 462938232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232839263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15244 + ... + 26420.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616).

Almost surely, 2^232839264 is an apocalyptic number.

232839264 is a gapful number since it is divisible by the number (24) 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 232839264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360557568).

232839264 is an abundant number, since it is smaller than the sum of its proper divisors (488275872).

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

232839264 is a wasteful number, since it uses less digits than its factorization.

232839264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228 (or 11220 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 232839264 is about 15259.0715313875. The cubic root of 232839264 is about 615.2034174085.

The spelling of 232839264 in words is "two hundred thirty-two million, eight hundred thirty-nine thousand, two hundred sixty-four".