8024904960 has 144 divisors (see below), whose sum is σ = 25667276544. Its totient is φ = 2136825856.

The previous prime is 8024904947. The next prime is 8024904989. The reversal of 8024904960 is 694094208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3888889 + ... + 3890951.

It is an arithmetic number, because the mean of its divisors is an integer number (178244976).

Almost surely, 2^8024904960 is an apocalyptic number.

8024904960 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 8024904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833638272).

8024904960 is an abundant number, since it is smaller than the sum of its proper divisors (17642371584).

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

8024904960 is a wasteful number, since it uses less digits than its factorization.

8024904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 8024904960 is about 89581.8338727222. The cubic root of 8024904960 is about 2002.0732633802.

The spelling of 8024904960 in words is "eight billion, twenty-four million, nine hundred four thousand, nine hundred sixty".