82146636 has 168 divisors, whose sum is σ = 254502864. Its totient is φ = 22861440.

The previous prime is 82146613. The next prime is 82146643. The reversal of 82146636 is 63664128.

82146636 is a `hidden beast` number, since 8 + 2 + 14 + 6 + 636 = 666.

It is a super-2 number, since 2×82146636² = 13496139612232992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82146636.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 416890 + ... + 417086.

It is an arithmetic number, because the mean of its divisors is an integer number (1514898).

Almost surely, 2^82146636 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 82146636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127251432).

82146636 is an abundant number, since it is smaller than the sum of its proper divisors (172356228).

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

82146636 is a wasteful number, since it uses less digits than its factorization.

82146636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82146636 is about 9063.4781403168. The cubic root of 82146636 is about 434.7069607825.

The spelling of 82146636 in words is "eighty-two million, one hundred forty-six thousand, six hundred thirty-six".