8171925840 has 960 divisors, whose sum is σ = 34535289600. Its totient is φ = 1759739904.

The previous prime is 8171925809. The next prime is 8171925847. The reversal of 8171925840 is 485291718.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8171925847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154187254 + ... + 154187306.

It is an arithmetic number, because the mean of its divisors is an integer number (35974260).

Almost surely, 2^8171925840 is an apocalyptic number.

8171925840 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 8171925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267644800).

8171925840 is an abundant number, since it is smaller than the sum of its proper divisors (26363363760).

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

8171925840 is a wasteful number, since it uses less digits than its factorization.

8171925840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8171925840 is about 90398.7048579790. The cubic root of 8171925840 is about 2014.2257277615.

The spelling of 8171925840 in words is "eight billion, one hundred seventy-one million, nine hundred twenty-five thousand, eight hundred forty".