86082000 has 80 divisors (see below), whose sum is σ = 277547712. Its totient is φ = 22953600.

The previous prime is 86081993. The next prime is 86082011. The reversal of 86082000 is 28068.

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

It is a super-2 number, since 2×86082000² = 14820221448000000, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174 + ... + 13173.

Almost surely, 2^86082000 is an apocalyptic number.

86082000 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 86082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138773856).

86082000 is an abundant number, since it is smaller than the sum of its proper divisors (191465712).

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

86082000 is a wasteful number, since it uses less digits than its factorization.

86082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14373 (or 14357 counting only the distinct ones).

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

The square root of 86082000 is about 9278.0385858219. The cubic root of 86082000 is about 441.5407417597.

The spelling of 86082000 in words is "eighty-six million, eighty-two thousand".