86006772 has 60 divisors (see below), whose sum is σ = 232118656. Its totient is φ = 27740880.

The previous prime is 86006771. The next prime is 86006797. The reversal of 86006772 is 27760068.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86006771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5763 + ... + 14325.

Almost surely, 2^86006772 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 86006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116059328).

86006772 is an abundant number, since it is smaller than the sum of its proper divisors (146111884).

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

86006772 is a wasteful number, since it uses less digits than its factorization.

86006772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 86006772 is about 9273.9836100782. The cubic root of 86006772 is about 441.4120818477.

The spelling of 86006772 in words is "eighty-six million, six thousand, seven hundred seventy-two".