82473640 has 64 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 31676160.

The previous prime is 82473637. The next prime is 82473641. The reversal of 82473640 is 4637428.

It is a junction number, because it is equal to n+sod(n) for n = 82473596 and 82473605.

It is not an unprimeable number, because it can be changed into a prime (82473641) 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, 281334 + ... + 281626.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^82473640 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 82473640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

82473640 is an abundant number, since it is smaller than the sum of its proper divisors (110578520).

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

82473640 is a wasteful number, since it uses less digits than its factorization.

82473640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 82473640 is about 9081.4998761218. The cubic root of 82473640 is about 435.2830148416.

The spelling of 82473640 in words is "eighty-two million, four hundred seventy-three thousand, six hundred forty".