1055520 has 72 divisors (see below), whose sum is σ = 3606876. Its totient is φ = 281088.

The previous prime is 1055503. The next prime is 1055531. The reversal of 1055520 is 255501.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 63504 = 996^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1055520² = 2228244940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1055493 and 1055502.

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, 1074 + ... + 1806.

2^1055520 is an apocalyptic number.

1055520 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 1055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803438).

1055520 is an abundant number, since it is smaller than the sum of its proper divisors (2551356).

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

1055520 is a wasteful number, since it uses less digits than its factorization.

1055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1055520 is about 1027.3850300642. The cubic root of 1055520 is about 101.8174358325.

It can be divided in two parts, 105 and 5520, that added together give a square (5625 = 75²).

The spelling of 1055520 in words is "one million, fifty-five thousand, five hundred twenty".