86649264 has 200 divisors, whose sum is σ = 279374480. Its totient is φ = 25754112.

The previous prime is 86649239. The next prime is 86649271. The reversal of 86649264 is 46294668.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 623307 + ... + 623445.

Almost surely, 2^86649264 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 86649264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139687240).

86649264 is an abundant number, since it is smaller than the sum of its proper divisors (192725216).

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

86649264 is a wasteful number, since it uses less digits than its factorization.

86649264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 86649264 is about 9308.5586424537. The cubic root of 86649264 is about 442.5085088855.

The spelling of 86649264 in words is "eighty-six million, six hundred forty-nine thousand, two hundred sixty-four".