86474016 has 72 divisors (see below), whose sum is σ = 258869520. Its totient is φ = 27305856.

The previous prime is 86474009. The next prime is 86474021. The reversal of 86474016 is 61047468.

86474016 is a `hidden beast` number, since 8 + 647 + 4 + 0 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2430 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (3595410).

Almost surely, 2^86474016 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 86474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129434760).

86474016 is an abundant number, since it is smaller than the sum of its proper divisors (172395504).

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

86474016 is a wasteful number, since it uses less digits than its factorization.

86474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86474016 is about 9299.1406054538. The cubic root of 86474016 is about 442.2099832850.

The spelling of 86474016 in words is "eighty-six million, four hundred seventy-four thousand, sixteen".