8097724160 has 72 divisors (see below), whose sum is σ = 19497675120. Its totient is φ = 3222208512.

The previous prime is 8097724157. The next prime is 8097724231. The reversal of 8097724160 is 614277908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230651 + ... + 263429.

Almost surely, 2^8097724160 is an apocalyptic number.

8097724160 is a gapful number since it is divisible by the number (80) 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 8097724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748837560).

8097724160 is an abundant number, since it is smaller than the sum of its proper divisors (11399950960).

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

8097724160 is a wasteful number, since it uses less digits than its factorization.

8097724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32993 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 8097724160 is about 89987.3555562113. The cubic root of 8097724160 is about 2008.1107434571.

The spelling of 8097724160 in words is "eight billion, ninety-seven million, seven hundred twenty-four thousand, one hundred sixty".