1054200 has 96 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 240000.

The previous prime is 1054199. The next prime is 1054201. The reversal of 1054200 is 24501.

It is an interprime number because it is at equal distance from previous prime (1054199) and next prime (1054201).

It is a super-2 number, since 2×1054200² = 2222675280000, which contains 22 as substring.

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4075 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1054200 is an apocalyptic number.

1054200 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 1054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1054200 is an abundant number, since it is smaller than the sum of its proper divisors (2695560).

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

1054200 is a wasteful number, since it uses less digits than its factorization.

1054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1054200 is about 1026.7424214476. The cubic root of 1054200 is about 101.7749749035.

Adding to 1054200 its reverse (24501), we get a palindrome (1078701).

The spelling of 1054200 in words is "one million, fifty-four thousand, two hundred".