86353848 has 96 divisors (see below), whose sum is σ = 275957760. Its totient is φ = 23872320.

The previous prime is 86353843. The next prime is 86353849. The reversal of 86353848 is 84835368.

86353848 is a `hidden beast` number, since 8 + 635 + 3 + 8 + 4 + 8 = 666.

It is a super-3 number, since 3×86353848³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86353843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12861 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (2874560).

Almost surely, 2^86353848 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 86353848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137978880).

86353848 is an abundant number, since it is smaller than the sum of its proper divisors (189603912).

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

86353848 is a wasteful number, since it uses less digits than its factorization.

86353848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5570 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 86353848 is about 9292.6771169561. The cubic root of 86353848 is about 442.0050503439.

The spelling of 86353848 in words is "eighty-six million, three hundred fifty-three thousand, eight hundred forty-eight".