623253120 has 256 divisors, whose sum is σ = 2303078400. Its totient is φ = 140414976.

The previous prime is 623253107. The next prime is 623253121. The reversal of 623253120 is 21352326.

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

It is not an unprimeable number, because it can be changed into a prime (623253121) 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, 1061467 + ... + 1062053.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2^623253120 is an apocalyptic number.

623253120 is a gapful number since it is divisible by the number (60) 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 623253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151539200).

623253120 is an abundant number, since it is smaller than the sum of its proper divisors (1679825280).

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

623253120 is a wasteful number, since it uses less digits than its factorization.

623253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 623253120 is about 24965.0379531055. The cubic root of 623253120 is about 854.1906639725.

The spelling of 623253120 in words is "six hundred twenty-three million, two hundred fifty-three thousand, one hundred twenty".