325653768 has 288 divisors, whose sum is σ = 1091244960. Its totient is φ = 86676480.

The previous prime is 325653767. The next prime is 325653773. The reversal of 325653768 is 867356523.

325653768 is a `hidden beast` number, since 3 + 2 + 56 + 537 + 68 = 666.

It is a super-2 number, since 2×325653768² = 212100753225195648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (325653763) 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 71 ways as a sum of consecutive naturals, for example, 4860471 + ... + 4860537.

It is an arithmetic number, because the mean of its divisors is an integer number (3789045).

Almost surely, 2^325653768 is an apocalyptic number.

325653768 is a gapful number since it is divisible by the number (38) 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 325653768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545622480).

325653768 is an abundant number, since it is smaller than the sum of its proper divisors (765591192).

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

325653768 is a wasteful number, since it uses less digits than its factorization.

325653768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 325653768 is about 18045.8795296877. The cubic root of 325653768 is about 687.9951381034.

The spelling of 325653768 in words is "three hundred twenty-five million, six hundred fifty-three thousand, seven hundred sixty-eight".