233168080 has 60 divisors (see below), whose sum is σ = 557425260. Its totient is φ = 90703872.

The previous prime is 233168051. The next prime is 233168083. The reversal of 233168080 is 80861332.

It can be written as a sum of positive squares in 6 ways, for example, as 14837904 + 218330176 = 3852^2 + 14776^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233168083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108456 + ... + 110584.

It is an arithmetic number, because the mean of its divisors is an integer number (9290421).

Almost surely, 2^233168080 is an apocalyptic number.

233168080 is a gapful number since it is divisible by the number (20) 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 233168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278712630).

233168080 is an abundant number, since it is smaller than the sum of its proper divisors (324257180).

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

233168080 is a wasteful number, since it uses less digits than its factorization.

233168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 233168080 is about 15269.8421733821. The cubic root of 233168080 is about 615.4928782922.

The spelling of 233168080 in words is "two hundred thirty-three million, one hundred sixty-eight thousand, eighty".