86061312 has 72 divisors (see below), whose sum is σ = 254518880. Its totient is φ = 28684800.

The previous prime is 86061307. The next prime is 86061319. The reversal of 86061312 is 21316068.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×86061312² = 14813098846322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86061319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 13137.

Almost surely, 2^86061312 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 86061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127259440).

86061312 is an abundant number, since it is smaller than the sum of its proper divisors (168457568).

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

86061312 is a wasteful number, since it uses less digits than its factorization.

86061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86061312 is about 9276.9236280138. The cubic root of 86061312 is about 441.5053672457.

The spelling of 86061312 in words is "eighty-six million, sixty-one thousand, three hundred twelve".