325665600 has 336 divisors, whose sum is σ = 1222296768. Its totient is φ = 75202560.

The previous prime is 325665589. The next prime is 325665611. The reversal of 325665600 is 6566523.

It is an interprime number because it is at equal distance from previous prime (325665589) and next prime (325665611).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1060647 + ... + 1060953.

It is an arithmetic number, because the mean of its divisors is an integer number (3637788).

Almost surely, 2^325665600 is an apocalyptic number.

325665600 is a gapful number since it is divisible by the number (30) 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 325665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611148384).

325665600 is an abundant number, since it is smaller than the sum of its proper divisors (896631168).

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

325665600 is a wasteful number, since it uses less digits than its factorization.

325665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 325665600 is about 18046.2073577802. The cubic root of 325665600 is about 688.0034703268.

The spelling of 325665600 in words is "three hundred twenty-five million, six hundred sixty-five thousand, six hundred".