320765952 has 128 divisors (see below), whose sum is σ = 924829920. Its totient is φ = 98304000.

The previous prime is 320765941. The next prime is 320765957. The reversal of 320765952 is 259567023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 320765952.

It is not an unprimeable number, because it can be changed into a prime (320765957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277827 + ... + 1278077.

Almost surely, 2^320765952 is an apocalyptic number.

320765952 is a gapful number since it is divisible by the number (32) 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 320765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462414960).

320765952 is an abundant number, since it is smaller than the sum of its proper divisors (604063968).

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

320765952 is an equidigital number, since it uses as much as digits as its factorization.

320765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 320765952 is about 17909.9400334004. The cubic root of 320765952 is about 684.5356769500.

The spelling of 320765952 in words is "three hundred twenty million, seven hundred sixty-five thousand, nine hundred fifty-two".