86725248 has 64 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 28786688.

The previous prime is 86725231. The next prime is 86725267. The reversal of 86725248 is 84252768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 172165 + ... + 172667.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^86725248 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 86725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

86725248 is an abundant number, since it is smaller than the sum of its proper divisors (144610752).

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

86725248 is a wasteful number, since it uses less digits than its factorization.

86725248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 957 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 86725248 is about 9312.6391533228. The cubic root of 86725248 is about 442.6378184778.

The spelling of 86725248 in words is "eighty-six million, seven hundred twenty-five thousand, two hundred forty-eight".