86016240 has 120 divisors (see below), whose sum is σ = 290837040. Its totient is φ = 22781952.

The previous prime is 86016239. The next prime is 86016257. The reversal of 86016240 is 4261068.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138651 + ... + 139269.

It is an arithmetic number, because the mean of its divisors is an integer number (2423642).

Almost surely, 2^86016240 is an apocalyptic number.

86016240 is a gapful number since it is divisible by the number (80) 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 86016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145418520).

86016240 is an abundant number, since it is smaller than the sum of its proper divisors (204820800).

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

86016240 is a wasteful number, since it uses less digits than its factorization.

86016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86016240 is about 9274.4940562815. The cubic root of 86016240 is about 441.4282787748.

It can be divided in two parts, 8601 and 6240, that added together give a palindrome (14841).

The spelling of 86016240 in words is "eighty-six million, sixteen thousand, two hundred forty".