82986642 has 48 divisors (see below), whose sum is σ = 190532160. Its totient is φ = 26031456.

The previous prime is 82986613. The next prime is 82986643. The reversal of 82986642 is 24668928.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82986643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56388 + ... + 57840.

It is an arithmetic number, because the mean of its divisors is an integer number (3969420).

Almost surely, 2^82986642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82986642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95266080).

82986642 is an abundant number, since it is smaller than the sum of its proper divisors (107545518).

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

82986642 is a wasteful number, since it uses less digits than its factorization.

82986642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1644 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82986642 is about 9109.7004341526. The cubic root of 82986642 is about 436.1836648699.

The spelling of 82986642 in words is "eighty-two million, nine hundred eighty-six thousand, six hundred forty-two".