1053024 has 48 divisors (see below), whose sum is σ = 3161088. Its totient is φ = 300672.

The previous prime is 1053007. The next prime is 1053029. The reversal of 1053024 is 4203501.

1053024 = 97² + 98² + ... + 159².

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1053024² = 2217719089152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052994 and 1053012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053029) 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, 112 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (65856).

2^1053024 is an apocalyptic number.

1053024 is a gapful number since it is divisible by the number (14) 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 1053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580544).

1053024 is an abundant number, since it is smaller than the sum of its proper divisors (2108064).

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

1053024 is a wasteful number, since it uses less digits than its factorization.

1053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1053024 is about 1026.1695766295. The cubic root of 1053024 is about 101.7371162102.

Adding to 1053024 its reverse (4203501), we get a palindrome (5256525).

The spelling of 1053024 in words is "one million, fifty-three thousand, twenty-four".