233166672 has 120 divisors (see below), whose sum is σ = 678868008. Its totient is φ = 74649600.

The previous prime is 233166623. The next prime is 233166677. The reversal of 233166672 is 276661332.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 231161616 = 1416^2 + 15204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233166677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430722 + ... + 431262.

Almost surely, 2^233166672 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 233166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339434004).

233166672 is an abundant number, since it is smaller than the sum of its proper divisors (445701336).

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

233166672 is a wasteful number, since it uses less digits than its factorization.

233166672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 233166672 is about 15269.7960693652. The cubic root of 233166672 is about 615.4916393924.

The spelling of 233166672 in words is "two hundred thirty-three million, one hundred sixty-six thousand, six hundred seventy-two".