320825088 has 108 divisors (see below), whose sum is σ = 979550208. Its totient is φ = 100638720.

The previous prime is 320825077. The next prime is 320825159. The reversal of 320825088 is 880528023.

320825088 is a `hidden beast` number, since 320 + 8 + 250 + 88 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35073 + ... + 43263.

Almost surely, 2^320825088 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 320825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489775104).

320825088 is an abundant number, since it is smaller than the sum of its proper divisors (658725120).

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

320825088 is a wasteful number, since it uses less digits than its factorization.

320825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 320825088 is about 17911.5908841175. The cubic root of 320825088 is about 684.5777410719.

The spelling of 320825088 in words is "three hundred twenty million, eight hundred twenty-five thousand, eighty-eight".