8262864 has 80 divisors (see below), whose sum is σ = 24522240. Its totient is φ = 2661120.

The previous prime is 8262857. The next prime is 8262869. The reversal of 8262864 is 4682628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8262869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13084 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (306528).

Almost surely, 2^8262864 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 8262864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261120).

8262864 is an abundant number, since it is smaller than the sum of its proper divisors (16259376).

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

8262864 is a wasteful number, since it uses less digits than its factorization.

8262864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8262864 is about 2874.5197859817. The cubic root of 8262864 is about 202.1669697475.

The spelling of 8262864 in words is "eight million, two hundred sixty-two thousand, eight hundred sixty-four".