1057200 has 60 divisors (see below), whose sum is σ = 3390408. Its totient is φ = 281600.

The previous prime is 1057183. The next prime is 1057219. The reversal of 1057200 is 27501.

It is a happy number.

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

It is a super-2 number, since 2×1057200² = 2235343680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1057200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760 + ... + 1640.

2^1057200 is an apocalyptic number.

1057200 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 1057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695204).

1057200 is an abundant number, since it is smaller than the sum of its proper divisors (2333208).

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

1057200 is a wasteful number, since it uses less digits than its factorization.

1057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1057200 is about 1028.2023147222. The cubic root of 1057200 is about 101.8714258472.

The spelling of 1057200 in words is "one million, fifty-seven thousand, two hundred".