320495616 has 336 divisors, whose sum is σ = 1144975104. Its totient is φ = 87588864.

The previous prime is 320495603. The next prime is 320495683. The reversal of 320495616 is 616594023.

It is a happy number.

320495616 is a `hidden beast` number, since 32 + 0 + 4 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934581 + ... + 13934603.

It is an arithmetic number, because the mean of its divisors is an integer number (3407664).

Almost surely, 2^320495616 is an apocalyptic number.

320495616 is a gapful number since it is divisible by the number (36) 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 320495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572487552).

320495616 is an abundant number, since it is smaller than the sum of its proper divisors (824479488).

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

320495616 is an frugal number, since it uses more digits than its factorization.

320495616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 320495616 is about 17902.3913486439. The cubic root of 320495616 is about 684.3433179554.

The spelling of 320495616 in words is "three hundred twenty million, four hundred ninety-five thousand, six hundred sixteen".