1053504 has 84 divisors (see below), whose sum is σ = 3169920. Its totient is φ = 334080.

The previous prime is 1053497. The next prime is 1053509. The reversal of 1053504 is 4053501.

It is a super-2 number, since 2×1053504² = 2219741356032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17827 + ... + 17885.

2^1053504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960).

1053504 is an abundant number, since it is smaller than the sum of its proper divisors (2116416).

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

1053504 is a wasteful number, since it uses less digits than its factorization.

1053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1053504 is about 1026.4034294565. The cubic root of 1053504 is about 101.7525721409.

The spelling of 1053504 in words is "one million, fifty-three thousand, five hundred four".