82161240 has 192 divisors, whose sum is σ = 291794400. Its totient is φ = 18450432.

The previous prime is 82161203. The next prime is 82161241. The reversal of 82161240 is 4216128.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82161240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82161241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523242 + ... + 523398.

Almost surely, 2^82161240 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 82161240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145897200).

82161240 is an abundant number, since it is smaller than the sum of its proper divisors (209633160).

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

82161240 is a wasteful number, since it uses less digits than its factorization.

82161240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82161240 is about 9064.2837554878. The cubic root of 82161240 is about 434.7327199395.

Adding to 82161240 its reverse (4216128), we get a palindrome (86377368).

The spelling of 82161240 in words is "eighty-two million, one hundred sixty-one thousand, two hundred forty".