86607312 has 80 divisors (see below), whose sum is σ = 248168640. Its totient is φ = 25804800.

The previous prime is 86607277. The next prime is 86607317. The reversal of 86607312 is 21370668.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86607317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30864 + ... + 33552.

It is an arithmetic number, because the mean of its divisors is an integer number (3102108).

Almost surely, 2^86607312 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 86607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124084320).

86607312 is an abundant number, since it is smaller than the sum of its proper divisors (161561328).

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

86607312 is a wasteful number, since it uses less digits than its factorization.

86607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 86607312 is about 9306.3049595422. The cubic root of 86607312 is about 442.4370825671.

The spelling of 86607312 in words is "eighty-six million, six hundred seven thousand, three hundred twelve".