86910912 has 252 divisors, whose sum is σ = 289849560. Its totient is φ = 24837120.

The previous prime is 86910907. The next prime is 86910913. The reversal of 86910912 is 21901968.

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 (86910913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2021163 + ... + 2021205.

Almost surely, 2^86910912 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 86910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144924780).

86910912 is an abundant number, since it is smaller than the sum of its proper divisors (202938648).

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

86910912 is a wasteful number, since it uses less digits than its factorization.

86910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 86910912 is about 9322.6022118291. The cubic root of 86910912 is about 442.9534640890.

It can be divided in two parts, 869 and 10912, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 86910912 in words is "eighty-six million, nine hundred ten thousand, nine hundred twelve".