86001300 has 432 divisors, whose sum is σ = 360726912. Its totient is φ = 16588800.

The previous prime is 86001299. The next prime is 86001329. The reversal of 86001300 is 310068.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1178064 + ... + 1178136.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 2^86001300 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 86001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

86001300 is an abundant number, since it is smaller than the sum of its proper divisors (274725612).

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

86001300 is a wasteful number, since it uses less digits than its factorization.

86001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

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

The square root of 86001300 is about 9273.6885865334. The cubic root of 86001300 is about 441.4027203440.

Adding to 86001300 its reverse (310068), we get a palindrome (86311368).

The spelling of 86001300 in words is "eighty-six million, one thousand, three hundred".