82127424 has 112 divisors (see below), whose sum is σ = 234086400. Its totient is φ = 25330176.

The previous prime is 82127407. The next prime is 82127429. The reversal of 82127424 is 42472128.

It is a junction number, because it is equal to n+sod(n) for n = 82127391 and 82127400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82127429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171217 + ... + 171695.

Almost surely, 2^82127424 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 82127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

82127424 is an abundant number, since it is smaller than the sum of its proper divisors (151958976).

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

82127424 is a wasteful number, since it uses less digits than its factorization.

82127424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 82127424 is about 9062.4182203207. The cubic root of 82127424 is about 434.6730691886.

The spelling of 82127424 in words is "eighty-two million, one hundred twenty-seven thousand, four hundred twenty-four".