233620080 has 160 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 60128256.

The previous prime is 233620073. The next prime is 233620087. The reversal of 233620080 is 80026332.

233620080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233620073) and next prime (233620087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233620080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233620087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567846 + ... + 1567994.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^233620080 is an apocalyptic number.

233620080 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 233620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

233620080 is an abundant number, since it is smaller than the sum of its proper divisors (516331920).

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

233620080 is a wasteful number, since it uses less digits than its factorization.

233620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 233620080 is about 15284.6354225412. The cubic root of 233620080 is about 615.8903357937.

The spelling of 233620080 in words is "two hundred thirty-three million, six hundred twenty thousand, eighty".