82024964 has 48 divisors (see below), whose sum is σ = 169032192. Its totient is φ = 34100352.

The previous prime is 82024961. The next prime is 82024979. The reversal of 82024964 is 46942028.

It is not an unprimeable number, because it can be changed into a prime (82024961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206414 + ... + 206810.

It is an arithmetic number, because the mean of its divisors is an integer number (3521504).

Almost surely, 2^82024964 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 82024964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84516096).

82024964 is an abundant number, since it is smaller than the sum of its proper divisors (87007228).

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

82024964 is a wasteful number, since it uses less digits than its factorization.

82024964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 82024964 is about 9056.7634395517. The cubic root of 82024964 is about 434.4922317605.

It can be divided in two parts, 8202496 and 4, that multiplied together give a square (32809984 = 5728²).

The spelling of 82024964 in words is "eighty-two million, twenty-four thousand, nine hundred sixty-four".