1285600 has 36 divisors (see below), whose sum is σ = 3140424. Its totient is φ = 513920.

The previous prime is 1285553. The next prime is 1285607. The reversal of 1285600 is 65821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285607) 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 5 ways as a sum of consecutive naturals, for example, 4 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (87234).

2^1285600 is an apocalyptic number.

1285600 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 1285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570212).

1285600 is an abundant number, since it is smaller than the sum of its proper divisors (1854824).

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

1285600 is a wasteful number, since it uses less digits than its factorization.

1285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1285600 is about 1133.8430226447. The cubic root of 1285600 is about 108.7348153370.

The spelling of 1285600 in words is "one million, two hundred eighty-five thousand, six hundred".