1084218432 has 224 divisors, whose sum is σ = 3379622400. Its totient is φ = 303206400.

The previous prime is 1084218379. The next prime is 1084218439. The reversal of 1084218432 is 2348124801.

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

It is a junction number, because it is equal to n+sod(n) for n = 1084218393 and 1084218402.

It is not an unprimeable number, because it can be changed into a prime (1084218439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644919 + ... + 1645577.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^1084218432 is an apocalyptic number.

1084218432 is a gapful number since it is divisible by the number (12) 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 1084218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689811200).

1084218432 is an abundant number, since it is smaller than the sum of its proper divisors (2295403968).

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

1084218432 is a wasteful number, since it uses less digits than its factorization.

1084218432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1084218432 is about 32927.4722989786. The cubic root of 1084218432 is about 1027.3196505648.

The spelling of 1084218432 in words is "one billion, eighty-four million, two hundred eighteen thousand, four hundred thirty-two".