1275600 has 60 divisors (see below), whose sum is σ = 4090016. Its totient is φ = 339840.

The previous prime is 1275583. The next prime is 1275601. The reversal of 1275600 is 65721.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 1731.

2^1275600 is an apocalyptic number.

1275600 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 1275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045008).

1275600 is an abundant number, since it is smaller than the sum of its proper divisors (2814416).

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

1275600 is a wasteful number, since it uses less digits than its factorization.

1275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1275600 is about 1129.4246322796. The cubic root of 1275600 is about 108.4521510295.

The spelling of 1275600 in words is "one million, two hundred seventy-five thousand, six hundred".