320965000 has 80 divisors (see below), whose sum is σ = 784998720. Its totient is φ = 122760000.

The previous prime is 320964893. The next prime is 320965003. The reversal of 320965000 is 569023.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (320965003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113605 + ... + 116395.

It is an arithmetic number, because the mean of its divisors is an integer number (9812484).

Almost surely, 2^320965000 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 320965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392499360).

320965000 is an abundant number, since it is smaller than the sum of its proper divisors (464033720).

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

320965000 is a wasteful number, since it uses less digits than its factorization.

320965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 320965000 is about 17915.4960857912. The cubic root of 320965000 is about 684.6772415210.

The spelling of 320965000 in words is "three hundred twenty million, nine hundred sixty-five thousand".