1053648 has 60 divisors (see below), whose sum is σ = 3069248. Its totient is φ = 349920.

The previous prime is 1053617. The next prime is 1053691. The reversal of 1053648 is 8463501.

1053648 is a `hidden beast` number, since 10 + 5 + 3 + 648 = 666.

It is a super-2 number, since 2×1053648² = 2220348215808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3753 + ... + 4023.

2^1053648 is an apocalyptic number.

1053648 is a gapful number since it is divisible by the number (18) 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 1053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534624).

1053648 is an abundant number, since it is smaller than the sum of its proper divisors (2015600).

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

1053648 is an equidigital number, since it uses as much as digits as its factorization.

1053648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1053648 is about 1026.4735749156. The cubic root of 1053648 is about 101.7572080046.

The spelling of 1053648 in words is "one million, fifty-three thousand, six hundred forty-eight".