86917248 has 192 divisors, whose sum is σ = 288007200. Its totient is φ = 24952320.

The previous prime is 86917219. The next prime is 86917249. The reversal of 86917248 is 84271968.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (86917249) 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, 4574583 + ... + 4574601.

Almost surely, 2^86917248 is an apocalyptic number.

86917248 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 86917248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144003600).

86917248 is an abundant number, since it is smaller than the sum of its proper divisors (201089952).

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

86917248 is a wasteful number, since it uses less digits than its factorization.

86917248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 86917248 is about 9322.9420249190. The cubic root of 86917248 is about 442.9642279271.

The spelling of 86917248 in words is "eighty-six million, nine hundred seventeen thousand, two hundred forty-eight".