321145920 has 84 divisors (see below), whose sum is σ = 1104618060. Its totient is φ = 85638144.

The previous prime is 321145889. The next prime is 321145927. The reversal of 321145920 is 29541123.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 241864704 = 8904^2 + 15552^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (321145927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52875 + ... + 58634.

It is an arithmetic number, because the mean of its divisors is an integer number (13150215).

Almost surely, 2^321145920 is an apocalyptic number.

321145920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321145920 is an abundant number, since it is smaller than the sum of its proper divisors (783472140).

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

321145920 is a wasteful number, since it uses less digits than its factorization.

321145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111532 (or 111519 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 321145920 is about 17920.5446345807. The cubic root of 321145920 is about 684.8058625433.

The spelling of 321145920 in words is "three hundred twenty-one million, one hundred forty-five thousand, nine hundred twenty".