8172864 has 84 divisors (see below), whose sum is σ = 26785824. Its totient is φ = 2333952.

The previous prime is 8172847. The next prime is 8172911. The reversal of 8172864 is 4682718.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3019 + ... + 5045.

Almost surely, 2^8172864 is an apocalyptic number.

8172864 is a gapful number since it is divisible by the number (84) 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 8172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392912).

8172864 is an abundant number, since it is smaller than the sum of its proper divisors (18612960).

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

8172864 is a wasteful number, since it uses less digits than its factorization.

8172864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2039 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8172864 is about 2858.8221350759. The cubic root of 8172864 is about 201.4302804399.

The spelling of 8172864 in words is "eight million, one hundred seventy-two thousand, eight hundred sixty-four".