86369472 has 168 divisors, whose sum is σ = 292477952. Its totient is φ = 23846400.

The previous prime is 86369471. The next prime is 86369477. The reversal of 86369472 is 27496368.

86369472 is a `hidden beast` number, since 8 + 636 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (86369471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124647 + ... + 125337.

Almost surely, 2^86369472 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 86369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146238976).

86369472 is an abundant number, since it is smaller than the sum of its proper divisors (206108480).

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

86369472 is a wasteful number, since it uses less digits than its factorization.

86369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86369472 is about 9293.5177408772. The cubic root of 86369472 is about 442.0317060581.

The spelling of 86369472 in words is "eighty-six million, three hundred sixty-nine thousand, four hundred seventy-two".