1073347200 has 480 divisors, whose sum is σ = 4097667420. Its totient is φ = 276480000.

The previous prime is 1073347199. The next prime is 1073347213. The reversal of 1073347200 is 27433701.

It can be written as a sum of positive squares in 6 ways, for example, as 397763136 + 675584064 = 19944^2 + 25992^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10627150 + ... + 10627250.

Almost surely, 2^1073347200 is an apocalyptic number.

1073347200 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 1073347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048833710).

1073347200 is an abundant number, since it is smaller than the sum of its proper divisors (3024320220).

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

1073347200 is a wasteful number, since it uses less digits than its factorization.

1073347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 1073347200 is about 32761.9779622660. The cubic root of 1073347200 is about 1023.8745370375.

The spelling of 1073347200 in words is "one billion, seventy-three million, three hundred forty-seven thousand, two hundred".