325920 has 96 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 73728.

The previous prime is 325901. The next prime is 325921. The reversal of 325920 is 29523.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325920.

It is not an unprimeable number, because it can be changed into a prime (325921) 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, 3312 + ... + 3408.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2³²⁵⁹²⁰ is an apocalyptic number.

325920 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 325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

325920 is an abundant number, since it is smaller than the sum of its proper divisors (859488).

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

325920 is a wasteful number, since it uses less digits than its factorization.

325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 325920 is about 570.8940357019. The cubic root of 325920 is about 68.8182572784.

The spelling of 325920 in words is "three hundred twenty-five thousand, nine hundred twenty".