1053800 has 48 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 382400.

The previous prime is 1053769. The next prime is 1053809. The reversal of 1053800 is 83501.

It is a super-2 number, since 2×1053800² = 2220988880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961 + ... + 2439.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^1053800 is an apocalyptic number.

1053800 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 1053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

1053800 is an abundant number, since it is smaller than the sum of its proper divisors (1624600).

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

1053800 is a wasteful number, since it uses less digits than its factorization.

1053800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1053800 is about 1026.5476121447. The cubic root of 1053800 is about 101.7621009580.

Subtracting from 1053800 its reverse (83501), we obtain a cube (970299 = 99³).

The spelling of 1053800 in words is "one million, fifty-three thousand, eight hundred".