86358648 has 64 divisors (see below), whose sum is σ = 228528000. Its totient is φ = 27119232.

The previous prime is 86358647. The next prime is 86358661. The reversal of 86358648 is 84685368.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (1080).

It is a junction number, because it is equal to n+sod(n) for n = 86358597 and 86358606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86358641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104011 + ... + 104837.

It is an arithmetic number, because the mean of its divisors is an integer number (3570750).

Almost surely, 2^86358648 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 86358648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114264000).

86358648 is an abundant number, since it is smaller than the sum of its proper divisors (142169352).

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

86358648 is a wasteful number, since it uses less digits than its factorization.

86358648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 86358648 is about 9292.9353812453. The cubic root of 86358648 is about 442.0132398456.

The spelling of 86358648 in words is "eighty-six million, three hundred fifty-eight thousand, six hundred forty-eight".