322768656 has 180 divisors, whose sum is σ = 1090769472. Its totient is φ = 87267456.

The previous prime is 322768651. The next prime is 322768679. The reversal of 322768656 is 656867223.

It is a happy number.

It is a super-3 number, since 3×322768656³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (322768651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363445 + ... + 364331.

Almost surely, 2^322768656 is an apocalyptic number.

322768656 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 322768656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545384736).

322768656 is an abundant number, since it is smaller than the sum of its proper divisors (768000816).

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

322768656 is a wasteful number, since it uses less digits than its factorization.

322768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 918 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 322768656 is about 17965.7634404998. The cubic root of 322768656 is about 685.9573563861.

The spelling of 322768656 in words is "three hundred twenty-two million, seven hundred sixty-eight thousand, six hundred fifty-six".