1295200 has 36 divisors (see below), whose sum is σ = 3163860. Its totient is φ = 517760.

The previous prime is 1295191. The next prime is 1295201. The reversal of 1295200 is 25921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10 + ... + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^1295200 is an apocalyptic number.

1295200 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 1295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581930).

1295200 is an abundant number, since it is smaller than the sum of its proper divisors (1868660).

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

1295200 is a wasteful number, since it uses less digits than its factorization.

1295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1295200 is about 1138.0685392365. The cubic root of 1295200 is about 109.0047973648.

It can be divided in two parts, 129 and 5200, that added together give a square (5329 = 73²).

The spelling of 1295200 in words is "one million, two hundred ninety-five thousand, two hundred".