82414020 has 192 divisors, whose sum is σ = 268692480. Its totient is φ = 18703872.

The previous prime is 82413997. The next prime is 82414021. The reversal of 82414020 is 2041428.

It is not an unprimeable number, because it can be changed into a prime (82414021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992899 + ... + 992981.

It is an arithmetic number, because the mean of its divisors is an integer number (1399440).

Almost surely, 2^82414020 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 82414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134346240).

82414020 is an abundant number, since it is smaller than the sum of its proper divisors (186278460).

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

82414020 is a wasteful number, since it uses less digits than its factorization.

82414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 82414020 is about 9078.2167852503. The cubic root of 82414020 is about 435.1781012017.

Adding to 82414020 its reverse (2041428), we get a palindrome (84455448).

The spelling of 82414020 in words is "eighty-two million, four hundred fourteen thousand, twenty".