320964048 has 120 divisors (see below), whose sum is σ = 932806368. Its totient is φ = 102940416.

The previous prime is 320964047. The next prime is 320964053. The reversal of 320964048 is 840469023.

It is a happy number.

320964048 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 640 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320964047) 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 23 ways as a sum of consecutive naturals, for example, 569815 + ... + 570377.

Almost surely, 2^320964048 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 320964048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466403184).

320964048 is an abundant number, since it is smaller than the sum of its proper divisors (611842320).

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

320964048 is a wasteful number, since it uses less digits than its factorization.

320964048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 320964048 is about 17915.4695165938. The cubic root of 320964048 is about 684.6765645901.

The spelling of 320964048 in words is "three hundred twenty million, nine hundred sixty-four thousand, forty-eight".