1325600 has 36 divisors (see below), whose sum is σ = 3238074. Its totient is φ = 529920.

The previous prime is 1325581. The next prime is 1325617. The reversal of 1325600 is 65231.

It can be written as a sum of positive squares in 3 ways, for example, as 868624 + 456976 = 932^2 + 676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29 + ... + 1628.

2^1325600 is an apocalyptic number.

1325600 is a gapful number since it is divisible by the number (10) 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 1325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619037).

1325600 is an abundant number, since it is smaller than the sum of its proper divisors (1912474).

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

1325600 is a wasteful number, since it uses less digits than its factorization.

1325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1325600 is about 1151.3470371699. The cubic root of 1325600 is about 109.8510380362.

The spelling of 1325600 in words is "one million, three hundred twenty-five thousand, six hundred".