86681680 has 40 divisors (see below), whose sum is σ = 201940200. Its totient is φ = 34603008.

The previous prime is 86681669. The next prime is 86681717. The reversal of 86681680 is 8618668.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 86266944 = 644^2 + 9288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60816 + ... + 62224.

It is an arithmetic number, because the mean of its divisors is an integer number (5048505).

Almost surely, 2^86681680 is an apocalyptic number.

86681680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86681680 is an abundant number, since it is smaller than the sum of its proper divisors (115258520).

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

86681680 is a wasteful number, since it uses less digits than its factorization.

86681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 86681680 is about 9310.2996729429. The cubic root of 86681680 is about 442.5636836855.

The spelling of 86681680 in words is "eighty-six million, six hundred eighty-one thousand, six hundred eighty".