86251500 has 96 divisors (see below), whose sum is σ = 279115200. Its totient is φ = 22996800.

The previous prime is 86251493. The next prime is 86251519. The reversal of 86251500 is 515268.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10306 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (2907450).

Almost surely, 2^86251500 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 86251500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139557600).

86251500 is an abundant number, since it is smaller than the sum of its proper divisors (192863700).

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

86251500 is a wasteful number, since it uses less digits than its factorization.

86251500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 86251500 is about 9287.1685674375. The cubic root of 86251500 is about 441.8303574259.

Adding to 86251500 its reverse (515268), we get a palindrome (86766768).

The spelling of 86251500 in words is "eighty-six million, two hundred fifty-one thousand, five hundred".