321386940 has 336 divisors, whose sum is σ = 1198697472. Its totient is φ = 70823808.

The previous prime is 321386939. The next prime is 321386959. The reversal of 321386940 is 49683123.

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

It is a junction number, because it is equal to n+sod(n) for n = 321386895 and 321386904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4796787 + ... + 4796853.

It is an arithmetic number, because the mean of its divisors is an integer number (3567552).

Almost surely, 2^321386940 is an apocalyptic number.

321386940 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 321386940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599348736).

321386940 is an abundant number, since it is smaller than the sum of its proper divisors (877310532).

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

321386940 is a wasteful number, since it uses less digits than its factorization.

321386940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 321386940 is about 17927.2680573477. The cubic root of 321386940 is about 684.9771352945.

The spelling of 321386940 in words is "three hundred twenty-one million, three hundred eighty-six thousand, nine hundred forty".