321382656 has 108 divisors (see below), whose sum is σ = 1059053632. Its totient is φ = 91819008.

The previous prime is 321382651. The next prime is 321382667. The reversal of 321382656 is 656283123.

It is a happy number.

It is a super-2 number, since 2×321382656² = 206573623155228672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 321382656.

It is not an unprimeable number, because it can be changed into a prime (321382651) 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, 6165 + ... + 26091.

Almost surely, 2^321382656 is an apocalyptic number.

321382656 is a gapful number since it is divisible by the number (36) 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 321382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529526816).

321382656 is an abundant number, since it is smaller than the sum of its proper divisors (737670976).

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

321382656 is a wasteful number, since it uses less digits than its factorization.

321382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19956 (or 19939 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 321382656 is about 17927.1485741598. The cubic root of 321382656 is about 684.9740917617.

The spelling of 321382656 in words is "three hundred twenty-one million, three hundred eighty-two thousand, six hundred fifty-six".