82163640 has 128 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 19560960.

The previous prime is 82163639. The next prime is 82163651. The reversal of 82163640 is 4636128.

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

It is a junction number, because it is equal to n+sod(n) for n = 82163598 and 82163607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47511 + ... + 49209.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^82163640 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 82163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

82163640 is an abundant number, since it is smaller than the sum of its proper divisors (192012360).

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

82163640 is a wasteful number, since it uses less digits than its factorization.

82163640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82163640 is about 9064.4161422565. The cubic root of 82163640 is about 434.7369528697.

Adding to 82163640 its reverse (4636128), we get a palindrome (86799768).

The spelling of 82163640 in words is "eighty-two million, one hundred sixty-three thousand, six hundred forty".