1053888 has 56 divisors (see below), whose sum is σ = 3048000. Its totient is φ = 318720.

The previous prime is 1053863. The next prime is 1053953. The reversal of 1053888 is 8883501.

It is a super-2 number, since 2×1053888² = 2221359833088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 1863 + ... + 2361.

2^1053888 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 1053888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524000).

1053888 is an abundant number, since it is smaller than the sum of its proper divisors (1994112).

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

1053888 is a wasteful number, since it uses less digits than its factorization.

1053888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1053888 is about 1026.5904733632. The cubic root of 1053888 is about 101.7649335055.

It can be divided in two parts, 105 and 3888, that added together give a palindrome (3993).

The spelling of 1053888 in words is "one million, fifty-three thousand, eight hundred eighty-eight".