86500224 has 144 divisors (see below), whose sum is σ = 260983320. Its totient is φ = 28553472.

The previous prime is 86500207. The next prime is 86500231. The reversal of 86500224 is 42200568.

86500224 is a `hidden beast` number, since 8 + 650 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839757 + ... + 839859.

Almost surely, 2^86500224 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 86500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491660).

86500224 is an abundant number, since it is smaller than the sum of its proper divisors (174483096).

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

86500224 is an frugal number, since it uses more digits than its factorization.

86500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86500224 is about 9300.5496611759. The cubic root of 86500224 is about 442.2546528445.

The spelling of 86500224 in words is "eighty-six million, five hundred thousand, two hundred twenty-four".