8022672 has 120 divisors (see below), whose sum is σ = 26858400. Its totient is φ = 2286144.

The previous prime is 8022671. The next prime is 8022683. The reversal of 8022672 is 2762208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8022671) 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 23 ways as a sum of consecutive naturals, for example, 20979 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (223820).

Almost surely, 2^8022672 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 8022672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429200).

8022672 is an abundant number, since it is smaller than the sum of its proper divisors (18835728).

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

8022672 is a wasteful number, since it uses less digits than its factorization.

8022672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

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

The square root of 8022672 is about 2832.4321704147. The cubic root of 8022672 is about 200.1887551348.

The spelling of 8022672 in words is "eight million, twenty-two thousand, six hundred seventy-two".