86148000 has 144 divisors (see below), whose sum is σ = 305867016. Its totient is φ = 22963200.

The previous prime is 86147987. The next prime is 86148019. The reversal of 86148000 is 84168.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 80784144 = 2316^2 + 8988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34804 + ... + 37196.

Almost surely, 2^86148000 is an apocalyptic number.

86148000 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 86148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933508).

86148000 is an abundant number, since it is smaller than the sum of its proper divisors (219719016).

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

86148000 is a wasteful number, since it uses less digits than its factorization.

86148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86148000 is about 9281.5946905691. The cubic root of 86148000 is about 441.6535576189.

The spelling of 86148000 in words is "eighty-six million, one hundred forty-eight thousand".