82195560 has 160 divisors (see below), whose sum is σ = 288541440. Its totient is φ = 20946816.

The previous prime is 82195499. The next prime is 82195567. The reversal of 82195560 is 6559128.

It is a happy number.

82195560 is a `hidden beast` number, since 8 + 2 + 1 + 95 + 560 = 666.

It is a super-2 number, since 2×82195560² = 13512220167427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82195567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73969 + ... + 75071.

It is an arithmetic number, because the mean of its divisors is an integer number (1803384).

Almost surely, 2^82195560 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 82195560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144270720).

82195560 is an abundant number, since it is smaller than the sum of its proper divisors (206345880).

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

82195560 is a wasteful number, since it uses less digits than its factorization.

82195560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 82195560 is about 9066.1767024474. The cubic root of 82195560 is about 434.7932430037.

The spelling of 82195560 in words is "eighty-two million, one hundred ninety-five thousand, five hundred sixty".