82040024 has 64 divisors (see below), whose sum is σ = 178416000. Its totient is φ = 34974720.

The previous prime is 82040017. The next prime is 82040029. The reversal of 82040024 is 42004028.

It is a junction number, because it is equal to n+sod(n) for n = 82039978 and 82040005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82040029) 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, 232232 + ... + 232584.

It is an arithmetic number, because the mean of its divisors is an integer number (2787750).

Almost surely, 2^82040024 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 82040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208000).

82040024 is an abundant number, since it is smaller than the sum of its proper divisors (96375976).

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

82040024 is a wasteful number, since it uses less digits than its factorization.

82040024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 82040024 is about 9057.5948242345. The cubic root of 82040024 is about 434.5188214403.

The spelling of 82040024 in words is "eighty-two million, forty thousand, twenty-four".