1083269824 has 112 divisors (see below), whose sum is σ = 2761049088. Its totient is φ = 409863168.

The previous prime is 1083269813. The next prime is 1083269827. The reversal of 1083269824 is 4289623801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1083269824³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1083269827) 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, 129909 + ... + 137995.

It is an arithmetic number, because the mean of its divisors is an integer number (24652224).

Almost surely, 2^1083269824 is an apocalyptic number.

1083269824 is a gapful number since it is divisible by the number (14) 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 1083269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380524544).

1083269824 is an abundant number, since it is smaller than the sum of its proper divisors (1677779264).

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

1083269824 is a wasteful number, since it uses less digits than its factorization.

1083269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1083269824 is about 32913.0646400483. The cubic root of 1083269824 is about 1027.0199545012.

It can be divided in two parts, 10832 and 69824, that added together give a square (80656 = 284²).

The spelling of 1083269824 in words is "one billion, eighty-three million, two hundred sixty-nine thousand, eight hundred twenty-four".