1285200 has 240 divisors, whose sum is σ = 5535360. Its totient is φ = 276480.

The previous prime is 1285199. The next prime is 1285213. The reversal of 1285200 is 25821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75592 + ... + 75608.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2^1285200 is an apocalyptic number.

1285200 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 1285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

1285200 is an abundant number, since it is smaller than the sum of its proper divisors (4250160).

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

1285200 is a wasteful number, since it uses less digits than its factorization.

1285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1285200 is about 1133.6666176615. Note that the first 4 decimals coincide. The cubic root of 1285200 is about 108.7235369618.

It can be divided in two parts, 1285 and 200, that added together give a triangular number (1485 = T₅₄).

The spelling of 1285200 in words is "one million, two hundred eighty-five thousand, two hundred".