86744112 has 120 divisors (see below), whose sum is σ = 280825776. Its totient is φ = 22869504.

The previous prime is 86744087. The next prime is 86744113. The reversal of 86744112 is 21144768.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86744113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29158 + ... + 31994.

Almost surely, 2^86744112 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 86744112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140412888).

86744112 is an abundant number, since it is smaller than the sum of its proper divisors (194081664).

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

86744112 is a wasteful number, since it uses less digits than its factorization.

86744112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2862 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 86744112 is about 9313.6519153337. The cubic root of 86744112 is about 442.6699095342.

The spelling of 86744112 in words is "eighty-six million, seven hundred forty-four thousand, one hundred twelve".