86811384 has 192 divisors, whose sum is σ = 270915840. Its totient is φ = 22865920.

The previous prime is 86811379. The next prime is 86811409. The reversal of 86811384 is 48311868.

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

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 47 ways as a sum of consecutive naturals, for example, 2993482 + ... + 2993510.

It is an arithmetic number, because the mean of its divisors is an integer number (1411020).

Almost surely, 2^86811384 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 86811384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135457920).

86811384 is an abundant number, since it is smaller than the sum of its proper divisors (184104456).

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

86811384 is a wasteful number, since it uses less digits than its factorization.

86811384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 85 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 86811384 is about 9317.2626881504. The cubic root of 86811384 is about 442.7843134386.

The spelling of 86811384 in words is "eighty-six million, eight hundred eleven thousand, three hundred eighty-four".