233153664 has 64 divisors (see below), whose sum is σ = 623570880. Its totient is φ = 77184000.

The previous prime is 233153653. The next prime is 233153717. The reversal of 233153664 is 466351332.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55974 + ... + 59994.

It is an arithmetic number, because the mean of its divisors is an integer number (9743295).

Almost surely, 2^233153664 is an apocalyptic number.

233153664 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 233153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311785440).

233153664 is an abundant number, since it is smaller than the sum of its proper divisors (390417216).

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

233153664 is a wasteful number, since it uses less digits than its factorization.

233153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4177 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 233153664 is about 15269.3701245336. The cubic root of 233153664 is about 615.4801934110.

The spelling of 233153664 in words is "two hundred thirty-three million, one hundred fifty-three thousand, six hundred sixty-four".