86356368 has 240 divisors, whose sum is σ = 303313920. Its totient is φ = 23234688.

The previous prime is 86356363. The next prime is 86356381. The reversal of 86356368 is 86365368.

86356368 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 636 + 8 = 666.

Its product of digits (622080) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86356363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517021 + ... + 517187.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^86356368 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 86356368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

86356368 is an abundant number, since it is smaller than the sum of its proper divisors (216957552).

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

86356368 is a wasteful number, since it uses less digits than its factorization.

86356368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 86356368 is about 9292.8127066029. The cubic root of 86356368 is about 442.0093498701.

The spelling of 86356368 in words is "eighty-six million, three hundred fifty-six thousand, three hundred sixty-eight".