86173920 has 288 divisors, whose sum is σ = 343429632. Its totient is φ = 19270656.

The previous prime is 86173903. The next prime is 86173943. The reversal of 86173920 is 2937168.

86173920 is a `hidden beast` number, since 8 + 617 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 836589 + ... + 836691.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^86173920 is an apocalyptic number.

86173920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

86173920 is an abundant number, since it is smaller than the sum of its proper divisors (257255712).

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

86173920 is a wasteful number, since it uses less digits than its factorization.

86173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86173920 is about 9282.9908973348. The cubic root of 86173920 is about 441.6978477254.

The spelling of 86173920 in words is "eighty-six million, one hundred seventy-three thousand, nine hundred twenty".