325105920 has 288 divisors, whose sum is σ = 1206777600. Its totient is φ = 82722816.

The previous prime is 325105919. The next prime is 325105927. The reversal of 325105920 is 29501523.

325105920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325105927) 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, 794676 + ... + 795084.

It is an arithmetic number, because the mean of its divisors is an integer number (4190200).

Almost surely, 2^325105920 is an apocalyptic number.

325105920 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 325105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603388800).

325105920 is an abundant number, since it is smaller than the sum of its proper divisors (881671680).

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

325105920 is a wasteful number, since it uses less digits than its factorization.

325105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 325105920 is about 18030.6938302440. The cubic root of 325105920 is about 687.6091163446.

The spelling of 325105920 in words is "three hundred twenty-five million, one hundred five thousand, nine hundred twenty".