233652640 has 72 divisors (see below), whose sum is σ = 597801708. Its totient is φ = 86261760.

The previous prime is 233652613. The next prime is 233652649. The reversal of 233652640 is 46256332.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51984 + 233600656 = 228^2 + 15284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233652649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22720 + ... + 31360.

Almost surely, 2^233652640 is an apocalyptic number.

233652640 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 233652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298900854).

233652640 is an abundant number, since it is smaller than the sum of its proper divisors (364149068).

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

233652640 is a wasteful number, since it uses less digits than its factorization.

233652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 233652640 is about 15285.7005073369. The cubic root of 233652640 is about 615.9189470013.

The spelling of 233652640 in words is "two hundred thirty-three million, six hundred fifty-two thousand, six hundred forty".