232638264 has 128 divisors (see below), whose sum is σ = 670824000. Its totient is φ = 74649600.

The previous prime is 232638247. The next prime is 232638281. The reversal of 232638264 is 462836232.

It is an interprime number because it is at equal distance from previous prime (232638247) and next prime (232638281).

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965184 + ... + 965424.

Almost surely, 2^232638264 is an apocalyptic number.

232638264 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 232638264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335412000).

232638264 is an abundant number, since it is smaller than the sum of its proper divisors (438185736).

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

232638264 is a wasteful number, since it uses less digits than its factorization.

232638264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 232638264 is about 15252.4838632926. The cubic root of 232638264 is about 615.0263403352.

The spelling of 232638264 in words is "two hundred thirty-two million, six hundred thirty-eight thousand, two hundred sixty-four".