86084000 has 48 divisors (see below), whose sum is σ = 211518216. Its totient is φ = 34432000.

The previous prime is 86083999. The next prime is 86084023. The reversal of 86084000 is 48068.

It can be written as a sum of positive squares in 4 ways, for example, as 25928464 + 60155536 = 5092^2 + 7756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6761 + ... + 14760.

Almost surely, 2^86084000 is an apocalyptic number.

86084000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86084000 is an abundant number, since it is smaller than the sum of its proper divisors (125434216).

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

86084000 is a wasteful number, since it uses less digits than its factorization.

86084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21546 (or 21528 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 86084000 is about 9278.1463665972. The cubic root of 86084000 is about 441.5441612692.

The spelling of 86084000 in words is "eighty-six million, eighty-four thousand".