82804860 has 108 divisors (see below), whose sum is σ = 260610168. Its totient is φ = 21280896.

The previous prime is 82804817. The next prime is 82804861. The reversal of 82804860 is 6840828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82804861) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151107 + ... + 151653.

Almost surely, 2^82804860 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 82804860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130305084).

82804860 is an abundant number, since it is smaller than the sum of its proper divisors (177805308).

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

82804860 is a wasteful number, since it uses less digits than its factorization.

82804860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82804860 is about 9099.7175780350. The cubic root of 82804860 is about 435.8649456853.

The spelling of 82804860 in words is "eighty-two million, eight hundred four thousand, eight hundred sixty".