1083888 has 80 divisors (see below), whose sum is σ = 3367840. Its totient is φ = 331776.

The previous prime is 1083881. The next prime is 1083899. The reversal of 1083888 is 8883801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5520 + ... + 5712.

It is an arithmetic number, because the mean of its divisors is an integer number (42098).

2^1083888 is an apocalyptic number.

1083888 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 1083888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683920).

1083888 is an abundant number, since it is smaller than the sum of its proper divisors (2283952).

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

1083888 is a wasteful number, since it uses less digits than its factorization.

1083888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1083888 is about 1041.0994188837. The cubic root of 1083888 is about 102.7215276216.

It can be divided in two parts, 108 and 3888, that multiplied together give a square (419904 = 648²).

The spelling of 1083888 in words is "one million, eighty-three thousand, eight hundred eighty-eight".