1053600 has 72 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 280320.

The previous prime is 1053593. The next prime is 1053617. The reversal of 1053600 is 63501.

It is a super-2 number, since 2×1053600² = 2220145920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1053600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (47740).

2^1053600 is an apocalyptic number.

1053600 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 1053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

1053600 is an abundant number, since it is smaller than the sum of its proper divisors (2383680).

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

1053600 is a wasteful number, since it uses less digits than its factorization.

1053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1053600 is about 1026.4501936285. The cubic root of 1053600 is about 101.7556627636.

Subtracting from 1053600 its reverse (63501), we obtain a palindrome (990099).

It can be divided in two parts, 1053 and 600, that added together give a triangular number (1653 = T₅₇).

The spelling of 1053600 in words is "one million, fifty-three thousand, six hundred".