1073218304 has 72 divisors (see below), whose sum is σ = 2203987968. Its totient is φ = 521323520.

The previous prime is 1073218297. The next prime is 1073218331. The reversal of 1073218304 is 4038123701.

It is a super-5 number, since 5×1073218304⁵ (a number of 46 digits) contains 55555 as substring.

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 2297879 + ... + 2298345.

It is an arithmetic number, because the mean of its divisors is an integer number (30610944).

Almost surely, 2^1073218304 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 1073218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101993984).

1073218304 is an abundant number, since it is smaller than the sum of its proper divisors (1130769664).

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

1073218304 is an equidigital number, since it uses as much as digits as its factorization.

1073218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1073218304 is about 32760.0107448090. The cubic root of 1073218304 is about 1023.8335504193.

The spelling of 1073218304 in words is "one billion, seventy-three million, two hundred eighteen thousand, three hundred four".