1090849824 has 144 divisors (see below), whose sum is σ = 3256291584. Its totient is φ = 345945600.

The previous prime is 1090849811. The next prime is 1090849849. The reversal of 1090849824 is 4289480901.

1090849824 = 5917² + 5918² + ... + 5947².

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1090849824⁴ (a number of 37 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1090849824.

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 23 ways as a sum of consecutive naturals, for example, 543607 + ... + 545609.

It is an arithmetic number, because the mean of its divisors is an integer number (22613136).

Almost surely, 2^1090849824 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 1090849824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628145792).

1090849824 is an abundant number, since it is smaller than the sum of its proper divisors (2165441760).

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

1090849824 is a wasteful number, since it uses less digits than its factorization.

1090849824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1090849824 is about 33028.0157442133. The cubic root of 1090849824 is about 1029.4098557987.

The spelling of 1090849824 in words is "one billion, ninety million, eight hundred forty-nine thousand, eight hundred twenty-four".