86041344 has 72 divisors (see below), whose sum is σ = 239000832. Its totient is φ = 27427840.

The previous prime is 86041331. The next prime is 86041363. The reversal of 86041344 is 44314068.

It is a super-2 number, since 2×86041344² = 14806225754652672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15229 + ... + 20099.

It is an arithmetic number, because the mean of its divisors is an integer number (3319456).

Almost surely, 2^86041344 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 86041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119500416).

86041344 is an abundant number, since it is smaller than the sum of its proper divisors (152959488).

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

86041344 is a wasteful number, since it uses less digits than its factorization.

86041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 86041344 is about 9275.8473467387. The cubic root of 86041344 is about 441.4712184864.

The spelling of 86041344 in words is "eighty-six million, forty-one thousand, three hundred forty-four".