82468824 has 32 divisors (see below), whose sum is σ = 208494000. Its totient is φ = 27180032.

The previous prime is 82468787. The next prime is 82468829. The reversal of 82468824 is 42886428.

It is a super-2 number, since 2×82468824² = 13602213863885952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82468829) 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, 17169 + ... + 21440.

Almost surely, 2^82468824 is an apocalyptic number.

It is an amenable number.

82468824 is an abundant number, since it is smaller than the sum of its proper divisors (126025176).

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

82468824 is a wasteful number, since it uses less digits than its factorization.

82468824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38707 (or 38703 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 82468824 is about 9081.2347178123. The cubic root of 82468824 is about 435.2745419776.

The spelling of 82468824 in words is "eighty-two million, four hundred sixty-eight thousand, eight hundred twenty-four".