82861884 has 72 divisors (see below), whose sum is σ = 247123968. Its totient is φ = 22908960.

The previous prime is 82861873. The next prime is 82861921. The reversal of 82861884 is 48816828.

It is a happy number.

82861884 is a `hidden beast` number, since 8 + 28 + 618 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509 + ... + 13115.

Almost surely, 2^82861884 is an apocalyptic number.

82861884 is a gapful number since it is divisible by the number (84) 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 82861884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123561984).

82861884 is an abundant number, since it is smaller than the sum of its proper divisors (164262084).

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

82861884 is a wasteful number, since it uses less digits than its factorization.

82861884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10650 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82861884 is about 9102.8503228384. The cubic root of 82861884 is about 435.9649762849.

The spelling of 82861884 in words is "eighty-two million, eight hundred sixty-one thousand, eight hundred eighty-four".