1055120 has 60 divisors (see below), whose sum is σ = 2721180. Its totient is φ = 380160.

The previous prime is 1055113. The next prime is 1055137. The reversal of 1055120 is 215501.

1055120 = T₉ + T₁₀ + ... + T₁₈₄.

It can be written as a sum of positive squares in 2 ways, for example, as 559504 + 495616 = 748^2 + 704^2 .

It is a super-2 number, since 2×1055120² = 2226556428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055095 and 1055104.

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, 9626 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (45353).

2^1055120 is an apocalyptic number.

1055120 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 1055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360590).

1055120 is an abundant number, since it is smaller than the sum of its proper divisors (1666060).

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

1055120 is a wasteful number, since it uses less digits than its factorization.

1055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1055120 is about 1027.1903426337. The cubic root of 1055120 is about 101.8045726245.

It can be divided in two parts, 105 and 5120, that added together give a palindrome (5225).

The spelling of 1055120 in words is "one million, fifty-five thousand, one hundred twenty".