1313600 has 42 divisors (see below), whose sum is σ = 3236214. Its totient is φ = 524800.

The previous prime is 1313597. The next prime is 1313621. The reversal of 1313600 is 63131.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 1290496 = 152^2 + 1136^2 .

It is a cake number, because a cake can be divided into 1313600 parts by 199 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1190 + ... + 2010.

2^1313600 is an apocalyptic number.

1313600 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 1313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618107).

1313600 is an abundant number, since it is smaller than the sum of its proper divisors (1922614).

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

1313600 is an equidigital number, since it uses as much as digits as its factorization.

1313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1313600 is about 1146.1239025516. The cubic root of 1313600 is about 109.5185570740.

Adding to 1313600 its reverse (63131), we get a palindrome (1376731).

The spelling of 1313600 in words is "one million, three hundred thirteen thousand, six hundred".