233534664 has 192 divisors, whose sum is σ = 730679040. Its totient is φ = 69284160.

The previous prime is 233534629. The next prime is 233534671. The reversal of 233534664 is 466435332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432647 + ... + 1432809.

It is an arithmetic number, because the mean of its divisors is an integer number (3805620).

Almost surely, 2^233534664 is an apocalyptic number.

233534664 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 233534664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365339520).

233534664 is an abundant number, since it is smaller than the sum of its proper divisors (497144376).

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

233534664 is a wasteful number, since it uses less digits than its factorization.

233534664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 233534664 is about 15281.8409885720. The cubic root of 233534664 is about 615.8152661884.

Adding to 233534664 its reverse (466435332), we get a palindrome (699969996).

The spelling of 233534664 in words is "two hundred thirty-three million, five hundred thirty-four thousand, six hundred sixty-four".