82106880 has 80 divisors (see below), whose sum is σ = 262509984. Its totient is φ = 21893120.

The previous prime is 82106873. The next prime is 82106881. The reversal of 82106880 is 8860128.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (82106881) 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, 2335 + ... + 13025.

Almost surely, 2^82106880 is an apocalyptic number.

82106880 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 82106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131254992).

82106880 is an abundant number, since it is smaller than the sum of its proper divisors (180403104).

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

82106880 is a wasteful number, since it uses less digits than its factorization.

82106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717 (or 10701 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 82106880 is about 9061.2846771305. The cubic root of 82106880 is about 434.6368219856.

The spelling of 82106880 in words is "eighty-two million, one hundred six thousand, eight hundred eighty".