82195680 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 17670144.

The previous prime is 82195669. The next prime is 82195681. The reversal of 82195680 is 8659128.

It is a super-2 number, since 2×82195680² = 13512259621324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82195681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56401 + ... + 57839.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^82195680 is an apocalyptic number.

82195680 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 82195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

82195680 is an abundant number, since it is smaller than the sum of its proper divisors (231332640).

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

82195680 is a wasteful number, since it uses less digits than its factorization.

82195680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 82195680 is about 9066.1833204497. The cubic root of 82195680 is about 434.7934545932.

The spelling of 82195680 in words is "eighty-two million, one hundred ninety-five thousand, six hundred eighty".