82866420 has 144 divisors (see below), whose sum is σ = 309429120. Its totient is φ = 17480448.

The previous prime is 82866419. The next prime is 82866431. The reversal of 82866420 is 2466828.

82866420 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 642 + 0 = 666.

82866420 is nontrivially palindromic in base 16.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13851 + ... + 18909.

Almost surely, 2^82866420 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 82866420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154714560).

82866420 is an abundant number, since it is smaller than the sum of its proper divisors (226562700).

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

82866420 is a wasteful number, since it uses less digits than its factorization.

82866420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82866420 is about 9103.0994721578. The cubic root of 82866420 is about 435.9729312937.

It can be divided in two parts, 8286 and 6420, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 82866420 in words is "eighty-two million, eight hundred sixty-six thousand, four hundred twenty".