1054800 has 90 divisors (see below), whose sum is σ = 3672942. Its totient is φ = 280320.

The previous prime is 1054769. The next prime is 1054813. The reversal of 1054800 is 84501.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 788544 = 516^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1054800² = 2225206080000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3454 + ... + 3746.

2^1054800 is an apocalyptic number.

1054800 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 1054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836471).

1054800 is an abundant number, since it is smaller than the sum of its proper divisors (2618142).

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

1054800 is a wasteful number, since it uses less digits than its factorization.

1054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

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

The square root of 1054800 is about 1027.0345661174. The cubic root of 1054800 is about 101.7942797171.

Subtracting from 1054800 its reverse (84501), we obtain a cube (970299 = 99³).

The spelling of 1054800 in words is "one million, fifty-four thousand, eight hundred".