82086000 has 80 divisors (see below), whose sum is σ = 264664608. Its totient is φ = 21888000.

The previous prime is 82085987. The next prime is 82086007. The reversal of 82086000 is 68028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×82086000² = 13476222792000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82086007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841 + ... + 12840.

Almost surely, 2^82086000 is an apocalyptic number.

82086000 is a gapful number since it is divisible by the number (80) 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 82086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132332304).

82086000 is an abundant number, since it is smaller than the sum of its proper divisors (182578608).

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

82086000 is a wasteful number, since it uses less digits than its factorization.

82086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82086000 is about 9060.1324493630. The cubic root of 82086000 is about 434.5999757585.

The spelling of 82086000 in words is "eighty-two million, eighty-six thousand".