86438144 has 72 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 37767168.

The previous prime is 86438113. The next prime is 86438147. The reversal of 86438144 is 44183468.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 86438098 and 86438107.

It is not an unprimeable number, because it can be changed into a prime (86438147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62549 + ... + 63915.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^86438144 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 86438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

86438144 is an abundant number, since it is smaller than the sum of its proper divisors (109295296).

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

86438144 is a wasteful number, since it uses less digits than its factorization.

86438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1401 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 86438144 is about 9297.2116249981. The cubic root of 86438144 is about 442.1488275327.

The spelling of 86438144 in words is "eighty-six million, four hundred thirty-eight thousand, one hundred forty-four".