82212960 has 96 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 21544448.

The previous prime is 82212919. The next prime is 82212967. The reversal of 82212960 is 6921228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82212967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26869 + ... + 29771.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^82212960 is an apocalyptic number.

82212960 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 82212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

82212960 is an abundant number, since it is smaller than the sum of its proper divisors (181237920).

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

82212960 is a wasteful number, since it uses less digits than its factorization.

82212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 82212960 is about 9067.1362623488. The cubic root of 82212960 is about 434.8239213382.

The spelling of 82212960 in words is "eighty-two million, two hundred twelve thousand, nine hundred sixty".