82473580 has 48 divisors (see below), whose sum is σ = 198809856. Its totient is φ = 28152000.

The previous prime is 82473577. The next prime is 82473581. The reversal of 82473580 is 8537428.

It is not an unprimeable number, because it can be changed into a prime (82473581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33967 + ... + 36313.

It is an arithmetic number, because the mean of its divisors is an integer number (4141872).

Almost surely, 2^82473580 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 82473580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99404928).

82473580 is an abundant number, since it is smaller than the sum of its proper divisors (116336276).

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

82473580 is a wasteful number, since it uses less digits than its factorization.

82473580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 82473580 is about 9081.4965727021. The cubic root of 82473580 is about 435.2829092847.

The spelling of 82473580 in words is "eighty-two million, four hundred seventy-three thousand, five hundred eighty".