8270064 has 120 divisors (see below), whose sum is σ = 26462592. Its totient is φ = 2386560.

The previous prime is 8270063. The next prime is 8270077. The reversal of 8270064 is 4600728.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36319 + ... + 36545.

Almost surely, 2^8270064 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 8270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

8270064 is an abundant number, since it is smaller than the sum of its proper divisors (18192528).

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

8270064 is a wasteful number, since it uses less digits than its factorization.

8270064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8270064 is about 2875.7718963784. The cubic root of 8270064 is about 202.2256733479.

It can be divided in two parts, 8 and 270064, that added together give a palindrome (270072).

The spelling of 8270064 in words is "eight million, two hundred seventy thousand, sixty-four".