1053008 has 40 divisors (see below), whose sum is σ = 2309376. Its totient is φ = 460800.

The previous prime is 1053007. The next prime is 1053029. The reversal of 1053008 is 8003501.

It is a super-2 number, since 2×1053008² = 2217651696128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053007) 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 7 ways as a sum of consecutive naturals, for example, 5360 + ... + 5552.

2^1053008 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 1053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154688).

1053008 is an abundant number, since it is smaller than the sum of its proper divisors (1256368).

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

1053008 is a wasteful number, since it uses less digits than its factorization.

1053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1053008 is about 1026.1617806175. The cubic root of 1053008 is about 101.7366009317.

Multiplying 1053008 by its sum of digits (17), we get a triangular number (17901136 = T₅₉₈₃).

Adding to 1053008 its reverse (8003501), we get a palindrome (9056509).

It can be divided in two parts, 105 and 3008, that added together give a palindrome (3113).

The spelling of 1053008 in words is "one million, fifty-three thousand, eight".