86629712 has 40 divisors (see below), whose sum is σ = 182462280. Its totient is φ = 39605760.

The previous prime is 86629693. The next prime is 86629729. The reversal of 86629712 is 21792668.

It can be written as a sum of positive squares in 4 ways, for example, as 22052416 + 64577296 = 4696^2 + 8036^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86629712.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20762 + ... + 24582.

It is an arithmetic number, because the mean of its divisors is an integer number (4561557).

Almost surely, 2^86629712 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 86629712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91231140).

86629712 is an abundant number, since it is smaller than the sum of its proper divisors (95832568).

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

86629712 is a wasteful number, since it uses less digits than its factorization.

86629712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3945 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 86629712 is about 9307.5083669046. The cubic root of 86629712 is about 442.4752230586.

The spelling of 86629712 in words is "eighty-six million, six hundred twenty-nine thousand, seven hundred twelve".