1053520 has 40 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 388608.

The previous prime is 1053511. The next prime is 1053529. The reversal of 1053520 is 253501.

It is an interprime number because it is at equal distance from previous prime (1053511) and next prime (1053529).

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 992016 = 248^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1053520² = 2219808780800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1053494 and 1053503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 1546.

2^1053520 is an apocalyptic number.

1053520 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 1053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320228).

1053520 is an abundant number, since it is smaller than the sum of its proper divisors (1586936).

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

1053520 is a wasteful number, since it uses less digits than its factorization.

1053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1053520 is about 1026.4112236331. The cubic root of 1053520 is about 101.7530872577.

The spelling of 1053520 in words is "one million, fifty-three thousand, five hundred twenty".