233634940 has 72 divisors (see below), whose sum is σ = 622650672. Its totient is φ = 72817920.

The previous prime is 233634937. The next prime is 233635007. The reversal of 233634940 is 49436332.

It is a junction number, because it is equal to n+sod(n) for n = 233634896 and 233634905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57 + ... + 21616.

It is an arithmetic number, because the mean of its divisors is an integer number (8647926).

Almost surely, 2^233634940 is an apocalyptic number.

233634940 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 233634940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311325336).

233634940 is an abundant number, since it is smaller than the sum of its proper divisors (389015732).

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

233634940 is a wasteful number, since it uses less digits than its factorization.

233634940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21707 (or 21698 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 233634940 is about 15285.1215238872. The cubic root of 233634940 is about 615.9033939412.

The spelling of 233634940 in words is "two hundred thirty-three million, six hundred thirty-four thousand, nine hundred forty".