1307200 has 84 divisors (see below), whose sum is σ = 3464560. Its totient is φ = 483840.

The previous prime is 1307197. The next prime is 1307209. The reversal of 1307200 is 27031.

It is not an unprimeable number, because it can be changed into a prime (1307209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30379 + ... + 30421.

2^1307200 is an apocalyptic number.

1307200 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 1307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732280).

1307200 is an abundant number, since it is smaller than the sum of its proper divisors (2157360).

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

1307200 is a wasteful number, since it uses less digits than its factorization.

1307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 1307200 is about 1143.3284742365. The cubic root of 1307200 is about 109.3404053856.

The spelling of 1307200 in words is "one million, three hundred seven thousand, two hundred".