320401680 has 40 divisors (see below), whose sum is σ = 993245952. Its totient is φ = 85440384.

The previous prime is 320401649. The next prime is 320401681. The reversal of 320401680 is 86104023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 320401680.

It is not an unprimeable number, because it can be changed into a prime (320401681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667264 + ... + 667743.

Almost surely, 2^320401680 is an apocalyptic number.

320401680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320401680 is an abundant number, since it is smaller than the sum of its proper divisors (672844272).

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

320401680 is a wasteful number, since it uses less digits than its factorization.

320401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335023 (or 1335017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 320401680 is about 17899.7675962567. The cubic root of 320401680 is about 684.2764519805.

The spelling of 320401680 in words is "three hundred twenty million, four hundred one thousand, six hundred eighty".