82204064 has 48 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 39463680.

The previous prime is 82204063. The next prime is 82204079. The reversal of 82204064 is 46040228.

It is not an unprimeable number, because it can be changed into a prime (82204063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171377 + ... + 171855.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2^82204064 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 82204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

82204064 is an abundant number, since it is smaller than the sum of its proper divisors (86172256).

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

82204064 is a wasteful number, since it uses less digits than its factorization.

82204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 82204064 is about 9066.6456862502. The cubic root of 82204064 is about 434.8082371397.

The spelling of 82204064 in words is "eighty-two million, two hundred four thousand, sixty-four".