321379920 has 160 divisors (see below), whose sum is σ = 1155283200. Its totient is φ = 81962496.

The previous prime is 321379913. The next prime is 321379967. The reversal of 321379920 is 29973123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46446 + ... + 52914.

It is an arithmetic number, because the mean of its divisors is an integer number (7220520).

Almost surely, 2^321379920 is an apocalyptic number.

321379920 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 321379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577641600).

321379920 is an abundant number, since it is smaller than the sum of its proper divisors (833903280).

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

321379920 is a wasteful number, since it uses less digits than its factorization.

321379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 321379920 is about 17927.0722651525. The cubic root of 321379920 is about 684.9721479787.

The spelling of 321379920 in words is "three hundred twenty-one million, three hundred seventy-nine thousand, nine hundred twenty".