82604808 has 192 divisors, whose sum is σ = 268894080. Its totient is φ = 22579200.

The previous prime is 82604807. The next prime is 82604813. The reversal of 82604808 is 80840628.

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 (82604807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730960 + ... + 731072.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^82604808 is an apocalyptic number.

82604808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82604808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

82604808 is an abundant number, since it is smaller than the sum of its proper divisors (186289272).

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

82604808 is a wasteful number, since it uses less digits than its factorization.

82604808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

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

The square root of 82604808 is about 9088.7187215801. The cubic root of 82604808 is about 435.5136540321.

The spelling of 82604808 in words is "eighty-two million, six hundred four thousand, eight hundred eight".