86371680 has 96 divisors (see below), whose sum is σ = 274869504. Its totient is φ = 22795776.

The previous prime is 86371667. The next prime is 86371697. The reversal of 86371680 is 8617368.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 48567 + ... + 50313.

It is an arithmetic number, because the mean of its divisors is an integer number (2863224).

Almost surely, 2^86371680 is an apocalyptic number.

86371680 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 86371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137434752).

86371680 is an abundant number, since it is smaller than the sum of its proper divisors (188497824).

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

86371680 is a wasteful number, since it uses less digits than its factorization.

86371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 86371680 is about 9293.6365325958. The cubic root of 86371680 is about 442.0354728122.

The spelling of 86371680 in words is "eighty-six million, three hundred seventy-one thousand, six hundred eighty".