1084224000 has 160 divisors (see below), whose sum is σ = 3605412096. Its totient is φ = 289075200.

The previous prime is 1084223983. The next prime is 1084224017. The reversal of 1084224000 is 4224801.

It is an interprime number because it is at equal distance from previous prime (1084223983) and next prime (1084224017).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189177 + ... + 194823.

Almost surely, 2^1084224000 is an apocalyptic number.

1084224000 is a gapful number since it is divisible by the number (10) 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 1084224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802706048).

1084224000 is an abundant number, since it is smaller than the sum of its proper divisors (2521188096).

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

1084224000 is an frugal number, since it uses more digits than its factorization.

1084224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1084224000 is about 32927.5568483299. The cubic root of 1084224000 is about 1027.3214091606.

Adding to 1084224000 its reverse (4224801), we get a palindrome (1088448801).

The spelling of 1084224000 in words is "one billion, eighty-four million, two hundred twenty-four thousand".