82224680 has 64 divisors (see below), whose sum is σ = 191252880. Its totient is φ = 31795200.

The previous prime is 82224673. The next prime is 82224683. The reversal of 82224680 is 8642228.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 611524 + 81613156 = 782^2 + 9034^2 .

It is a super-2 number, since 2×82224680² = 13521796002204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82224683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296702 + ... + 296978.

Almost surely, 2^82224680 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 82224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95626440).

82224680 is an abundant number, since it is smaller than the sum of its proper divisors (109028200).

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

82224680 is a wasteful number, since it uses less digits than its factorization.

82224680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 82224680 is about 9067.7825293729. The cubic root of 82224680 is about 434.8445826962.

The spelling of 82224680 in words is "eighty-two million, two hundred twenty-four thousand, six hundred eighty".