1054120 has 48 divisors (see below), whose sum is σ = 2537460. Its totient is φ = 393984.

The previous prime is 1054091. The next prime is 1054133. The reversal of 1054120 is 214501.

It can be written as a sum of positive squares in 2 ways, for example, as 1052676 + 1444 = 1026^2 + 38^2 .

It is a super-2 number, since 2×1054120² = 2222337948800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054120.

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 11 ways as a sum of consecutive naturals, for example, 14404 + ... + 14476.

2^1054120 is an apocalyptic number.

1054120 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 1054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268730).

1054120 is an abundant number, since it is smaller than the sum of its proper divisors (1483340).

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

1054120 is a wasteful number, since it uses less digits than its factorization.

1054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1054120 is about 1026.7034625441. The cubic root of 1054120 is about 101.7724003750.

Adding to 1054120 its reverse (214501), we get a palindrome (1268621).

It can be divided in two parts, 105 and 4120, that added together give a square (4225 = 65²).

The spelling of 1054120 in words is "one million, fifty-four thousand, one hundred twenty".