82580004 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 23328000.

The previous prime is 82579969. The next prime is 82580021. The reversal of 82580004 is 40008528.

82580004 is a `hidden beast` number, since 82 + 580 + 0 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82580004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328879 + ... + 329129.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^82580004 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 82580004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

82580004 is an abundant number, since it is smaller than the sum of its proper divisors (161416476).

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

82580004 is a wasteful number, since it uses less digits than its factorization.

82580004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82580004 is about 9087.3540703551. The cubic root of 82580004 is about 435.4700586598.

The spelling of 82580004 in words is "eighty-two million, five hundred eighty thousand, four".