323625120 has 384 divisors, whose sum is σ = 1300561920. Its totient is φ = 65802240.

The previous prime is 323625067. The next prime is 323625121. The reversal of 323625120 is 21526323.

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 (323625121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353961 + ... + 1354199.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^323625120 is an apocalyptic number.

323625120 is a gapful number since it is divisible by the number (30) 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 323625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

323625120 is an abundant number, since it is smaller than the sum of its proper divisors (976936800).

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

323625120 is a wasteful number, since it uses less digits than its factorization.

323625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

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

The square root of 323625120 is about 17989.5836527697. The cubic root of 323625120 is about 686.5635479466.

The spelling of 323625120 in words is "three hundred twenty-three million, six hundred twenty-five thousand, one hundred twenty".