1073968896 has 432 divisors, whose sum is σ = 3897270272. Its totient is φ = 255467520.

The previous prime is 1073968859. The next prime is 1073968913. The reversal of 1073968896 is 6988693701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8456385 + ... + 8456511.

Almost surely, 2^1073968896 is an apocalyptic number.

1073968896 is a gapful number since it is divisible by the number (16) 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 1073968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948635136).

1073968896 is an abundant number, since it is smaller than the sum of its proper divisors (2823301376).

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

1073968896 is a wasteful number, since it uses less digits than its factorization.

1073968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 1073968896 is about 32771.4646605854. The cubic root of 1073968896 is about 1024.0721791569.

It can be divided in two parts, 1073 and 968896, that added together give a palindrome (969969).

The spelling of 1073968896 in words is "one billion, seventy-three million, nine hundred sixty-eight thousand, eight hundred ninety-six".