8297164260 has 768 divisors, whose sum is σ = 34248130560. Its totient is φ = 1617408000.

The previous prime is 8297164199. The next prime is 8297164261. The reversal of 8297164260 is 624617928.

It is a happy number.

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 (8297164261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52848102 + ... + 52848258.

It is an arithmetic number, because the mean of its divisors is an integer number (44593920).

Almost surely, 2^8297164260 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 8297164260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124065280).

8297164260 is an abundant number, since it is smaller than the sum of its proper divisors (25950966300).

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

8297164260 is a wasteful number, since it uses less digits than its factorization.

8297164260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8297164260 is about 91088.7713167765. The cubic root of 8297164260 is about 2024.4632431966.

The spelling of 8297164260 in words is "eight billion, two hundred ninety-seven million, one hundred sixty-four thousand, two hundred sixty".