82027824 has 40 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 27187008.

The previous prime is 82027823. The next prime is 82027909. The reversal of 82027824 is 42872028.

It is not an unprimeable number, because it can be changed into a prime (82027823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^82027824 is an apocalyptic number.

It is an amenable number.

82027824 is an abundant number, since it is smaller than the sum of its proper divisors (131083536).

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

82027824 is a wasteful number, since it uses less digits than its factorization.

82027824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 82027824 is about 9056.9213312251. The cubic root of 82027824 is about 434.4972815781.

The spelling of 82027824 in words is "eighty-two million, twenty-seven thousand, eight hundred twenty-four".