1036200 has 96 divisors (see below), whose sum is σ = 3526560. Its totient is φ = 249600.

The previous prime is 1036183. The next prime is 1036213. The reversal of 1036200 is 26301.

It is a super-3 number, since 3×1036200³ = 3337736273784000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522 + ... + 6678.

It is an arithmetic number, because the mean of its divisors is an integer number (36735).

2^1036200 is an apocalyptic number.

1036200 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 1036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763280).

1036200 is an abundant number, since it is smaller than the sum of its proper divisors (2490360).

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

1036200 is a wasteful number, since it uses less digits than its factorization.

1036200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1036200 is about 1017.9390944452. The cubic root of 1036200 is about 101.1923921645.

The spelling of 1036200 in words is "one million, thirty-six thousand, two hundred".