320701680 has 360 divisors, whose sum is σ = 1230046272. Its totient is φ = 77262336.

The previous prime is 320701679. The next prime is 320701687. The reversal of 320701680 is 86107023.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320701687) 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 71 ways as a sum of consecutive naturals, for example, 6823417 + ... + 6823463.

Almost surely, 2^320701680 is an apocalyptic number.

320701680 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 320701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615023136).

320701680 is an abundant number, since it is smaller than the sum of its proper divisors (909344592).

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

320701680 is an equidigital number, since it uses as much as digits as its factorization.

320701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 320701680 is about 17908.1456326444. The cubic root of 320701680 is about 684.4899536683.

The spelling of 320701680 in words is "three hundred twenty million, seven hundred one thousand, six hundred eighty".