82636848 has 100 divisors (see below), whose sum is σ = 273372880. Its totient is φ = 23607936.

The previous prime is 82636837. The next prime is 82636859. The reversal of 82636848 is 84863628.

It is a happy number.

82636848 is a `hidden beast` number, since 8 + 2 + 636 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82636837) and next prime (82636859).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4518 + ... + 13626.

Almost surely, 2^82636848 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 82636848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136686440).

82636848 is an abundant number, since it is smaller than the sum of its proper divisors (190736032).

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

82636848 is a wasteful number, since it uses less digits than its factorization.

82636848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9121 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 82636848 is about 9090.4811753834. The cubic root of 82636848 is about 435.5699544425.

The spelling of 82636848 in words is "eighty-two million, six hundred thirty-six thousand, eight hundred forty-eight".