623925120 has 256 divisors, whose sum is σ = 2448391680. Its totient is φ = 131604480.

The previous prime is 623925103. The next prime is 623925121. The reversal of 623925120 is 21529326.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623925121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172935 + ... + 176505.

It is an arithmetic number, because the mean of its divisors is an integer number (9564030).

Almost surely, 2^623925120 is an apocalyptic number.

623925120 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 623925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224195840).

623925120 is an abundant number, since it is smaller than the sum of its proper divisors (1824466560).

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

623925120 is a wasteful number, since it uses less digits than its factorization.

623925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 623925120 is about 24978.4931491073. The cubic root of 623925120 is about 854.4975537028.

The spelling of 623925120 in words is "six hundred twenty-three million, nine hundred twenty-five thousand, one hundred twenty".