82661376 has 156 divisors (see below), whose sum is σ = 260277216. Its totient is φ = 22855680.

The previous prime is 82661357. The next prime is 82661377. The reversal of 82661376 is 67316628.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (72576) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82661377) 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, 2666481 + ... + 2666511.

Almost surely, 2^82661376 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 82661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130138608).

82661376 is an abundant number, since it is smaller than the sum of its proper divisors (177615840).

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

82661376 is an equidigital number, since it uses as much as digits as its factorization.

82661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82661376 is about 9091.8301787924. The cubic root of 82661376 is about 435.6130449977.

The spelling of 82661376 in words is "eighty-two million, six hundred sixty-one thousand, three hundred seventy-six".