86448600 has 192 divisors, whose sum is σ = 340454400. Its totient is φ = 19751040.

The previous prime is 86448589. The next prime is 86448601. The reversal of 86448600 is 684468.

86448600 is a `hidden beast` number, since 8 + 6 + 4 + 48 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36657 + ... + 38943.

It is an arithmetic number, because the mean of its divisors is an integer number (1773200).

Almost surely, 2^86448600 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 86448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

86448600 is an abundant number, since it is smaller than the sum of its proper divisors (254005800).

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

86448600 is a wasteful number, since it uses less digits than its factorization.

86448600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86448600 is about 9297.7739271290. The cubic root of 86448600 is about 442.1666550084.

It can be divided in two parts, 864 and 48600, that multiplied together give a square (41990400 = 6480²).

The spelling of 86448600 in words is "eighty-six million, four hundred forty-eight thousand, six hundred".