82210960 has 80 divisors (see below), whose sum is σ = 207705456. Its totient is φ = 30081024.

The previous prime is 82210951. The next prime is 82210987. The reversal of 82210960 is 6901228.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1354896 + 80856064 = 1164^2 + 8992^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142192 + ... + 142768.

Almost surely, 2^82210960 is an apocalyptic number.

82210960 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 82210960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103852728).

82210960 is an abundant number, since it is smaller than the sum of its proper divisors (125494496).

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

82210960 is a wasteful number, since it uses less digits than its factorization.

82210960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 82210960 is about 9067.0259732726. The cubic root of 82210960 is about 434.8203953130.

The spelling of 82210960 in words is "eighty-two million, two hundred ten thousand, nine hundred sixty".