325101600 has 360 divisors, whose sum is σ = 1233553860. Its totient is φ = 83220480.

The previous prime is 325101589. The next prime is 325101607. The reversal of 325101600 is 6101523.

It can be written as a sum of positive squares in 6 ways, for example, as 198133776 + 126967824 = 14076^2 + 11268^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (325101607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879114 + ... + 1879286.

Almost surely, 2^325101600 is an apocalyptic number.

325101600 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 325101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616776930).

325101600 is an abundant number, since it is smaller than the sum of its proper divisors (908452260).

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

325101600 is a wasteful number, since it uses less digits than its factorization.

325101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 325101600 is about 18030.5740341233. The cubic root of 325101600 is about 687.6060706864.

The spelling of 325101600 in words is "three hundred twenty-five million, one hundred one thousand, six hundred".