321406680 has 192 divisors, whose sum is σ = 1146493440. Its totient is φ = 71839488.

The previous prime is 321406651. The next prime is 321406693. The reversal of 321406680 is 86604123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275779 + ... + 276941.

It is an arithmetic number, because the mean of its divisors is an integer number (5971320).

Almost surely, 2^321406680 is an apocalyptic number.

321406680 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 321406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573246720).

321406680 is an abundant number, since it is smaller than the sum of its proper divisors (825086760).

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

321406680 is a wasteful number, since it uses less digits than its factorization.

321406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 321406680 is about 17927.8186068467. The cubic root of 321406680 is about 684.9911590668.

The spelling of 321406680 in words is "three hundred twenty-one million, four hundred six thousand, six hundred eighty".