86982000 has 320 divisors, whose sum is σ = 340454400. Its totient is φ = 18662400.

The previous prime is 86981987. The next prime is 86982017. The reversal of 86982000 is 28968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797946 + ... + 798054.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^86982000 is an apocalyptic number.

86982000 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 86982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

86982000 is an abundant number, since it is smaller than the sum of its proper divisors (253472400).

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

86982000 is a wasteful number, since it uses less digits than its factorization.

86982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 86982000 is about 9326.4141018936. The cubic root of 86982000 is about 443.0742011125.

The spelling of 86982000 in words is "eighty-six million, nine hundred eighty-two thousand".