8167810560 has 960 divisors, whose sum is σ = 34506362880. Its totient is φ = 1610219520.

The previous prime is 8167810559. The next prime is 8167810561. The reversal of 8167810560 is 650187618.

It is an interprime number because it is at equal distance from previous prime (8167810559) and next prime (8167810561).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8167810561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263477745 + ... + 263477775.

It is an arithmetic number, because the mean of its divisors is an integer number (35944128).

Almost surely, 2^8167810560 is an apocalyptic number.

8167810560 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 8167810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253181440).

8167810560 is an abundant number, since it is smaller than the sum of its proper divisors (26338552320).

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

8167810560 is a wasteful number, since it uses less digits than its factorization.

8167810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 8167810560 is about 90375.9401610849. The cubic root of 8167810560 is about 2013.8875579986.

The spelling of 8167810560 in words is "eight billion, one hundred sixty-seven million, eight hundred ten thousand, five hundred sixty".