321623680 has 256 divisors, whose sum is σ = 962357760. Its totient is φ = 100270080.

The previous prime is 321623671. The next prime is 321623683. The reversal of 321623680 is 86326123.

It is a hoax number, since the sum of its digits (31) 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 (321623683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3122509 + ... + 3122611.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^321623680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

321623680 is an abundant number, since it is smaller than the sum of its proper divisors (640734080).

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

321623680 is a wasteful number, since it uses less digits than its factorization.

321623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 321623680 is about 17933.8696326253. The cubic root of 321623680 is about 685.1452832661.

It can be divided in two parts, 3216 and 23680, that added together give a square (26896 = 164²).

The spelling of 321623680 in words is "three hundred twenty-one million, six hundred twenty-three thousand, six hundred eighty".