322972560 has 120 divisors (see below), whose sum is σ = 1087906560. Its totient is φ = 85867776.

The previous prime is 322972547. The next prime is 322972561. The reversal of 322972560 is 65279223.

322972560 is a `hidden beast` number, since 3 + 2 + 2 + 97 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×322972560² = 208622549025907200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (322972561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436671 + ... + 437409.

It is an arithmetic number, because the mean of its divisors is an integer number (9065888).

Almost surely, 2^322972560 is an apocalyptic number.

322972560 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 322972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543953280).

322972560 is an abundant number, since it is smaller than the sum of its proper divisors (764934000).

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

322972560 is a wasteful number, since it uses less digits than its factorization.

322972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 322972560 is about 17971.4373381764. The cubic root of 322972560 is about 686.1017735542.

The spelling of 322972560 in words is "three hundred twenty-two million, nine hundred seventy-two thousand, five hundred sixty".