82224064 has 56 divisors (see below), whose sum is σ = 180531008. Its totient is φ = 36910080.

The previous prime is 82224049. The next prime is 82224073. The reversal of 82224064 is 46042228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29449 + ... + 32119.

It is an arithmetic number, because the mean of its divisors is an integer number (3223768).

Almost surely, 2^82224064 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 82224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90265504).

82224064 is an abundant number, since it is smaller than the sum of its proper divisors (98306944).

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

82224064 is a wasteful number, since it uses less digits than its factorization.

82224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 82224064 is about 9067.7485629014. The cubic root of 82224064 is about 434.8434967898.

The spelling of 82224064 in words is "eighty-two million, two hundred twenty-four thousand, sixty-four".