8221968 has 30 divisors (see below), whose sum is σ = 23010494. Its totient is φ = 2740608.

The previous prime is 8221963. The next prime is 8221981. The reversal of 8221968 is 8691228.

It can be written as a sum of positive squares in only one way, i.e., 4717584 + 3504384 = 2172^2 + 1872^2 .

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 not an unprimeable number, because it can be changed into a prime (8221963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28405 + ... + 28692.

Almost surely, 2^8221968 is an apocalyptic number.

It is an amenable number.

8221968 is an abundant number, since it is smaller than the sum of its proper divisors (14788526).

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

8221968 is a wasteful number, since it uses less digits than its factorization.

8221968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57111 (or 57102 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8221968 is about 2867.3974262386. The cubic root of 8221968 is about 201.8328846893.

The spelling of 8221968 in words is "eight million, two hundred twenty-one thousand, nine hundred sixty-eight".