86473008 has 120 divisors (see below), whose sum is σ = 262149888. Its totient is φ = 27542592.

The previous prime is 86473007. The next prime is 86473021. The reversal of 86473008 is 80037468.

86473008 is a `hidden beast` number, since 8 + 647 + 3 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×86473008² = 14955162225136128, which contains 22 as substring.

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 (86473001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88941 + ... + 89907.

Almost surely, 2^86473008 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 86473008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131074944).

86473008 is an abundant number, since it is smaller than the sum of its proper divisors (175676880).

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

86473008 is a wasteful number, since it uses less digits than its factorization.

86473008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 995 counting only the distinct ones).

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

The square root of 86473008 is about 9299.0864067391. The cubic root of 86473008 is about 442.2082650447.

The spelling of 86473008 in words is "eighty-six million, four hundred seventy-three thousand, eight".