233620720 has 80 divisors (see below), whose sum is σ = 561651552. Its totient is φ = 90316800.

The previous prime is 233620711. The next prime is 233620727. The reversal of 233620720 is 27026332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233620727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388420 + ... + 389020.

Almost surely, 2^233620720 is an apocalyptic number.

233620720 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 233620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280825776).

233620720 is an abundant number, since it is smaller than the sum of its proper divisors (328030832).

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

233620720 is a wasteful number, since it uses less digits than its factorization.

233620720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 233620720 is about 15284.6563585839. The cubic root of 233620720 is about 615.8908982018.

The spelling of 233620720 in words is "two hundred thirty-three million, six hundred twenty thousand, seven hundred twenty".