1055200 has 36 divisors (see below), whose sum is σ = 2577960. Its totient is φ = 421760.

The previous prime is 1055191. The next prime is 1055231. The reversal of 1055200 is 25501.

It is a super-2 number, since 2×1055200² = 2226894080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

2^1055200 is an apocalyptic number.

1055200 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 1055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288980).

1055200 is an abundant number, since it is smaller than the sum of its proper divisors (1522760).

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

1055200 is a wasteful number, since it uses less digits than its factorization.

1055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1055200 is about 1027.2292830717. The cubic root of 1055200 is about 101.8071455261.

The spelling of 1055200 in words is "one million, fifty-five thousand, two hundred".