325188864 has 576 divisors, whose sum is σ = 1318625280. Its totient is φ = 76308480.

The previous prime is 325188863. The next prime is 325188883. The reversal of 325188864 is 468881523.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×325188864² = 211495594539220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325188863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6918889 + ... + 6918935.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2^325188864 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 325188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

325188864 is an abundant number, since it is smaller than the sum of its proper divisors (993436416).

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

325188864 is a wasteful number, since it uses less digits than its factorization.

325188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 325188864 is about 18032.9937614363. The cubic root of 325188864 is about 687.6675877509.

The spelling of 325188864 in words is "three hundred twenty-five million, one hundred eighty-eight thousand, eight hundred sixty-four".