86281664 has 56 divisors (see below), whose sum is σ = 207203040. Its totient is φ = 34799616.

The previous prime is 86281661. The next prime is 86281687. The reversal of 86281664 is 46618268.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86281661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952 + ... + 13280.

Almost surely, 2^86281664 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 86281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103601520).

86281664 is an abundant number, since it is smaller than the sum of its proper divisors (120921376).

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

86281664 is a wasteful number, since it uses less digits than its factorization.

86281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11355 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 86281664 is about 9288.7923865269. The cubic root of 86281664 is about 441.8818572745.

The spelling of 86281664 in words is "eighty-six million, two hundred eighty-one thousand, six hundred sixty-four".