86859648 has 128 divisors (see below), whose sum is σ = 263037600. Its totient is φ = 28200960.

The previous prime is 86859601. The next prime is 86859653. The reversal of 86859648 is 84695868.

It is a happy number.

86859648 is a `hidden beast` number, since 8 + 6 + 8 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86859594 and 86859603.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 141390 + ... + 142002.

Almost surely, 2^86859648 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 86859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131518800).

86859648 is an abundant number, since it is smaller than the sum of its proper divisors (176177952).

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

86859648 is a wasteful number, since it uses less digits than its factorization.

86859648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 86859648 is about 9319.8523593456. The cubic root of 86859648 is about 442.8663556084.

It can be divided in two parts, 868 and 59648, that added together give a square (60516 = 246²).

The spelling of 86859648 in words is "eighty-six million, eight hundred fifty-nine thousand, six hundred forty-eight".