86493568 has 64 divisors (see below), whose sum is σ = 202327200. Its totient is φ = 36052992.

The previous prime is 86493551. The next prime is 86493577. The reversal of 86493568 is 86539468.

It is a happy number.

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

It is a super-2 number, since 2×86493568² = 14962274610741248, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 31848 + ... + 34456.

Almost surely, 2^86493568 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 86493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101163600).

86493568 is an abundant number, since it is smaller than the sum of its proper divisors (115833632).

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

86493568 is a wasteful number, since it uses less digits than its factorization.

86493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2655 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The square root of 86493568 is about 9300.1918259786. The cubic root of 86493568 is about 442.2433090493.

The spelling of 86493568 in words is "eighty-six million, four hundred ninety-three thousand, five hundred sixty-eight".