232764 has 48 divisors (see below), whose sum is σ = 661248. Its totient is φ = 62208.

The previous prime is 232753. The next prime is 232777. The reversal of 232764 is 467232.

232764 = 27² + 28² + ... + 89².

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (13776).

2²³²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330624).

232764 is an abundant number, since it is smaller than the sum of its proper divisors (428484).

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

232764 is a wasteful number, since it uses less digits than its factorization.

232764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 232764 is about 482.4562156300. The cubic root of 232764 is about 61.5137123235.

Adding to 232764 its reverse (467232), we get a palindrome (699996).

The spelling of 232764 in words is "two hundred thirty-two thousand, seven hundred sixty-four".