233291664 has 160 divisors (see below), whose sum is σ = 695491200. Its totient is φ = 75769344.

The previous prime is 233291659. The next prime is 233291741. The reversal of 233291664 is 466192332.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064472 + ... + 2064584.

It is an arithmetic number, because the mean of its divisors is an integer number (4346820).

Almost surely, 2^233291664 is an apocalyptic number.

233291664 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 233291664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347745600).

233291664 is an abundant number, since it is smaller than the sum of its proper divisors (462199536).

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

233291664 is an equidigital number, since it uses as much as digits as its factorization.

233291664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 233291664 is about 15273.8883065184. Note that the first 3 decimals coincide. The cubic root of 233291664 is about 615.6016004883.

The spelling of 233291664 in words is "two hundred thirty-three million, two hundred ninety-one thousand, six hundred sixty-four".