86509224 has 48 divisors (see below), whose sum is σ = 238148820. Its totient is φ = 28362240.

The previous prime is 86509211. The next prime is 86509229. The reversal of 86509224 is 42290568.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66096900 + 20412324 = 8130^2 + 4518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86509229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5457 + ... + 14240.

Almost surely, 2^86509224 is an apocalyptic number.

It is an amenable number.

86509224 is an abundant number, since it is smaller than the sum of its proper divisors (151639596).

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

86509224 is a wasteful number, since it uses less digits than its factorization.

86509224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 19763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86509224 is about 9301.0334909622. The cubic root of 86509224 is about 442.2699905845.

The spelling of 86509224 in words is "eighty-six million, five hundred nine thousand, two hundred twenty-four".