8164268460 has 144 divisors (see below), whose sum is σ = 26268802560. Its totient is φ = 2046695040.

The previous prime is 8164268447. The next prime is 8164268461. The reversal of 8164268460 is 648624618.

8164268460 is a `hidden beast` number, since 8 + 164 + 26 + 8 + 460 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8164268461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438909 + ... + 457131.

It is an arithmetic number, because the mean of its divisors is an integer number (182422240).

Almost surely, 2^8164268460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8164268460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13134401280).

8164268460 is an abundant number, since it is smaller than the sum of its proper divisors (18104534100).

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

8164268460 is a wasteful number, since it uses less digits than its factorization.

8164268460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8164268460 is about 90356.3415594058. The cubic root of 8164268460 is about 2013.5963978611.

The spelling of 8164268460 in words is "eight billion, one hundred sixty-four million, two hundred sixty-eight thousand, four hundred sixty".