1345600 has 63 divisors (see below), whose sum is σ = 3429127. Its totient is φ = 519680.

The previous prime is 1345583. The next prime is 1345621. The reversal of 1345600 is 65431.

The square root of 1345600 is 1160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 1327104 = 136^2 + 1152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46386 + ... + 46414.

2^1345600 is an apocalyptic number.

1345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345600 is the 1160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345600

1345600 is an abundant number, since it is smaller than the sum of its proper divisors (2083527).

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

1345600 is an equidigital number, since it uses as much as digits as its factorization.

1345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 1345600 is about 110.4007421360.

The spelling of 1345600 in words is "one million, three hundred forty-five thousand, six hundred".