233070320 has 80 divisors (see below), whose sum is σ = 633768960. Its totient is φ = 78043392.

The previous prime is 233070319. The next prime is 233070329. The reversal of 233070320 is 23070332.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233070292 and 233070301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233070329) 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, 19241 + ... + 28919.

It is an arithmetic number, because the mean of its divisors is an integer number (7922112).

Almost surely, 2^233070320 is an apocalyptic number.

233070320 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 233070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316884480).

233070320 is an abundant number, since it is smaller than the sum of its proper divisors (400698640).

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

233070320 is a wasteful number, since it uses less digits than its factorization.

233070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 20.

The square root of 233070320 is about 15266.6407568921. The cubic root of 233070320 is about 615.4068473699.

The spelling of 233070320 in words is "two hundred thirty-three million, seventy thousand, three hundred twenty".