320215680 has 384 divisors, whose sum is σ = 1202947200. Its totient is φ = 81285120.

The previous prime is 320215673. The next prime is 320215691. The reversal of 320215680 is 86512023.

320215680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4510045 + ... + 4510115.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^320215680 is an apocalyptic number.

320215680 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 320215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

320215680 is an abundant number, since it is smaller than the sum of its proper divisors (882731520).

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

320215680 is an equidigital number, since it uses as much as digits as its factorization.

320215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 320215680 is about 17894.5712438158. The cubic root of 320215680 is about 684.1440139975.

It can be divided in two parts, 320 and 215680, that added together give a cube (216000 = 60³).

The spelling of 320215680 in words is "three hundred twenty million, two hundred fifteen thousand, six hundred eighty".