82067664 has 80 divisors (see below), whose sum is σ = 250142720. Its totient is φ = 22688640.

The previous prime is 82067659. The next prime is 82067731. The reversal of 82067664 is 46676028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6477 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (3126784).

Almost surely, 2^82067664 is an apocalyptic number.

82067664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82067664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125071360).

82067664 is an abundant number, since it is smaller than the sum of its proper divisors (168075056).

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

82067664 is a wasteful number, since it uses less digits than its factorization.

82067664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 82067664 is about 9059.1204871113. The cubic root of 82067664 is about 434.5676136887.

The spelling of 82067664 in words is "eighty-two million, sixty-seven thousand, six hundred sixty-four".