82520424 has 64 divisors (see below), whose sum is σ = 261974400. Its totient is φ = 23576832.

The previous prime is 82520423. The next prime is 82520447. The reversal of 82520424 is 42402528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82520423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25777 + ... + 28800.

It is an arithmetic number, because the mean of its divisors is an integer number (4093350).

Almost surely, 2^82520424 is an apocalyptic number.

82520424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82520424 is an abundant number, since it is smaller than the sum of its proper divisors (179453976).

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

82520424 is a wasteful number, since it uses less digits than its factorization.

82520424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54599 (or 54589 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 82520424 is about 9084.0752969138. The cubic root of 82520424 is about 435.3653055031.

It can be divided in two parts, 82520 and 424, that added together give a square (82944 = 288²).

The spelling of 82520424 in words is "eighty-two million, five hundred twenty thousand, four hundred twenty-four".