1260800 has 54 divisors (see below), whose sum is σ = 3136518. Its totient is φ = 501760.

The previous prime is 1260799. The next prime is 1260827. The reversal of 1260800 is 80621.

It can be written as a sum of positive squares in 3 ways, for example, as 369664 + 891136 = 608^2 + 944^2 .

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, 6302 + ... + 6498.

2^1260800 is an apocalyptic number.

1260800 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 1260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568259).

1260800 is an abundant number, since it is smaller than the sum of its proper divisors (1875718).

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

1260800 is an equidigital number, since it uses as much as digits as its factorization.

1260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1260800 is about 1122.8535078095. The cubic root of 1260800 is about 108.0310838740.

The spelling of 1260800 in words is "one million, two hundred sixty thousand, eight hundred".