321142920 has 256 divisors, whose sum is σ = 1195223040. Its totient is φ = 67350528.

The previous prime is 321142909. The next prime is 321142931. The reversal of 321142920 is 29241123.

321142920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (321142909) and next prime (321142931).

It is a super-2 number, since 2×321142920² = 206265550132252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613779 + ... + 614301.

It is an arithmetic number, because the mean of its divisors is an integer number (4668840).

Almost surely, 2^321142920 is an apocalyptic number.

321142920 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 321142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597611520).

321142920 is an abundant number, since it is smaller than the sum of its proper divisors (874080120).

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

321142920 is a wasteful number, since it uses less digits than its factorization.

321142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 321142920 is about 17920.4609315720. The cubic root of 321142920 is about 684.8037301544.

The spelling of 321142920 in words is "three hundred twenty-one million, one hundred forty-two thousand, nine hundred twenty".