82660320 has 144 divisors (see below), whose sum is σ = 284815440. Its totient is φ = 21829632.

The previous prime is 82660313. The next prime is 82660339. The reversal of 82660320 is 2306628.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197071 + ... + 197489.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^82660320 is an apocalyptic number.

82660320 is a gapful number since it is divisible by the number (80) 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 82660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

82660320 is an abundant number, since it is smaller than the sum of its proper divisors (202155120).

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

82660320 is a wasteful number, since it uses less digits than its factorization.

82660320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82660320 is about 9091.7721044910. The cubic root of 82660320 is about 435.6111900026.

Adding to 82660320 its reverse (2306628), we get a palindrome (84966948).

The spelling of 82660320 in words is "eighty-two million, six hundred sixty thousand, three hundred twenty".