1053264 has 20 divisors (see below), whose sum is σ = 2721056. Its totient is φ = 351072.

The previous prime is 1053263. The next prime is 1053271. The reversal of 1053264 is 4623501.

Added to its reverse (4623501) it gives a triangular number (5676765 = T₃₃₆₉).

It is a happy number.

It is a super-2 number, since 2×1053264² = 2218730107392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053263) 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 3 ways as a sum of consecutive naturals, for example, 10924 + ... + 11019.

2^1053264 is an apocalyptic number.

It is an amenable number.

1053264 is an abundant number, since it is smaller than the sum of its proper divisors (1667792).

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

1053264 is a wasteful number, since it uses less digits than its factorization.

1053264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21954 (or 21948 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1053264 is about 1026.2865097038. The cubic root of 1053264 is about 101.7448447625.

Adding to 1053264 its reverse (4623501), we get a palindrome (5676765).

The spelling of 1053264 in words is "one million, fifty-three thousand, two hundred sixty-four".