86014368 has 144 divisors (see below), whose sum is σ = 281080800. Its totient is φ = 24675840.

The previous prime is 86014363. The next prime is 86014391. The reversal of 86014368 is 86341068.

It is a happy number.

86014368 is a `hidden beast` number, since 8 + 601 + 43 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (86014363) 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, 59478 + ... + 60906.

It is an arithmetic number, because the mean of its divisors is an integer number (1951950).

Almost surely, 2^86014368 is an apocalyptic number.

86014368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140540400).

86014368 is an abundant number, since it is smaller than the sum of its proper divisors (195066432).

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

86014368 is a wasteful number, since it uses less digits than its factorization.

86014368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86014368 is about 9274.3931337851. The cubic root of 86014368 is about 441.4250764348.

The spelling of 86014368 in words is "eighty-six million, fourteen thousand, three hundred sixty-eight".