7966224 has 90 divisors (see below), whose sum is σ = 25957230. Its totient is φ = 2274048.

The previous prime is 7966219. The next prime is 7966237. The reversal of 7966224 is 4226697.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 2822400 = 2268^2 + 1680^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6492 + ... + 7620.

Almost surely, 2^7966224 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 7966224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978615).

7966224 is an abundant number, since it is smaller than the sum of its proper divisors (17991006).

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

7966224 is a wasteful number, since it uses less digits than its factorization.

7966224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7966224 is about 2822.4499995571. The cubic root of 7966224 is about 199.7181362842.

The spelling of 7966224 in words is "seven million, nine hundred sixty-six thousand, two hundred twenty-four".