320251872 has 96 divisors (see below), whose sum is σ = 893440800. Its totient is φ = 100251648.

The previous prime is 320251849. The next prime is 320251873. The reversal of 320251872 is 278152023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×320251872² = 205122523039008768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320251873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101454 + ... + 104562.

It is an arithmetic number, because the mean of its divisors is an integer number (9306675).

Almost surely, 2^320251872 is an apocalyptic number.

320251872 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 320251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446720400).

320251872 is an abundant number, since it is smaller than the sum of its proper divisors (573188928).

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

320251872 is a wasteful number, since it uses less digits than its factorization.

320251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 320251872 is about 17895.5824716604. The cubic root of 320251872 is about 684.1697878836.

It can be divided in two parts, 320251 and 872, that added together give a palindrome (321123).

The spelling of 320251872 in words is "three hundred twenty million, two hundred fifty-one thousand, eight hundred seventy-two".