86013000 has 192 divisors, whose sum is σ = 306633600. Its totient is φ = 21686400.

The previous prime is 86012999. The next prime is 86013023. The reversal of 86013000 is 31068.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170749 + ... + 171251.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^86013000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

86013000 is an abundant number, since it is smaller than the sum of its proper divisors (220620600).

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

86013000 is a wasteful number, since it uses less digits than its factorization.

86013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 86013000 is about 9274.3193820355. The cubic root of 86013000 is about 441.4227362339.

Adding to 86013000 its reverse (31068), we get a palindrome (86044068).

The spelling of 86013000 in words is "eighty-six million, thirteen thousand".