233996364 has 216 divisors, whose sum is σ = 758131920. Its totient is φ = 62923392.

The previous prime is 233996363. The next prime is 233996377. The reversal of 233996364 is 463699332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

233996364 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 9 + 636 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (233996363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13764484 + ... + 13764500.

It is an arithmetic number, because the mean of its divisors is an integer number (3509870).

Almost surely, 2^233996364 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 233996364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379065960).

233996364 is an abundant number, since it is smaller than the sum of its proper divisors (524135556).

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

233996364 is an equidigital number, since it uses as much as digits as its factorization.

233996364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 233996364 is about 15296.9396939388. The cubic root of 233996364 is about 616.2208230340.

The spelling of 233996364 in words is "two hundred thirty-three million, nine hundred ninety-six thousand, three hundred sixty-four".