8170885440 has 252 divisors, whose sum is σ = 29857932156. Its totient is φ = 2050523136.

The previous prime is 8170885421. The next prime is 8170885451. The reversal of 8170885440 is 445880718.

It can be written as a sum of positive squares in 6 ways, for example, as 2430095616 + 5740789824 = 49296^2 + 75768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 827412 + ... + 837228.

Almost surely, 2^8170885440 is an apocalyptic number.

8170885440 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 8170885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928966078).

8170885440 is an abundant number, since it is smaller than the sum of its proper divisors (21687046716).

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

8170885440 is a wasteful number, since it uses less digits than its factorization.

8170885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8170885440 is about 90392.9501675877. The cubic root of 8170885440 is about 2014.1402444688.

The spelling of 8170885440 in words is "eight billion, one hundred seventy million, eight hundred eighty-five thousand, four hundred forty".