1081824 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 352640.

The previous prime is 1081823. The next prime is 1081853. The reversal of 1081824 is 4281801.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1081794 and 1081803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5569 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^1081824 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 1081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1081824 is an abundant number, since it is smaller than the sum of its proper divisors (1821216).

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

1081824 is a wasteful number, since it uses less digits than its factorization.

1081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1081824 is about 1040.1076867325. The cubic root of 1081824 is about 102.6562835023.

The spelling of 1081824 in words is "one million, eighty-one thousand, eight hundred twenty-four".