82356064 has 72 divisors (see below), whose sum is σ = 192362688. Its totient is φ = 34594560.

The previous prime is 82356049. The next prime is 82356067. The reversal of 82356064 is 46065328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82356067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82609 + ... + 83599.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^82356064 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 82356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

82356064 is an abundant number, since it is smaller than the sum of its proper divisors (110006624).

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

82356064 is a wasteful number, since it uses less digits than its factorization.

82356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 82356064 is about 9075.0241872956. The cubic root of 82356064 is about 435.0760672014.

The spelling of 82356064 in words is "eighty-two million, three hundred fifty-six thousand, sixty-four".