1084045200 has 480 divisors, whose sum is σ = 4298391552. Its totient is φ = 228096000.

The previous prime is 1084045181. The next prime is 1084045241. The reversal of 1084045200 is 25404801.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5989110 + ... + 5989290.

Almost surely, 2^1084045200 is an apocalyptic number.

1084045200 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 1084045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149195776).

1084045200 is an abundant number, since it is smaller than the sum of its proper divisors (3214346352).

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

1084045200 is a wasteful number, since it uses less digits than its factorization.

1084045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1084045200 is about 32924.8416852686. The cubic root of 1084045200 is about 1027.2649340023.

The spelling of 1084045200 in words is "one billion, eighty-four million, forty-five thousand, two hundred".