82002024 has 256 divisors, whose sum is σ = 272160000. Its totient is φ = 22643712.

The previous prime is 82002023. The next prime is 82002029. The reversal of 82002024 is 42020028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82001988 and 82002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82002023) 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, 1547182 + ... + 1547234.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 2^82002024 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 82002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

82002024 is an abundant number, since it is smaller than the sum of its proper divisors (190157976).

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

82002024 is a wasteful number, since it uses less digits than its factorization.

82002024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 82002024 is about 9055.4968941522. The cubic root of 82002024 is about 434.4517230314.

The spelling of 82002024 in words is "eighty-two million, two thousand, twenty-four".