86935680 has 384 divisors, whose sum is σ = 343062720. Its totient is φ = 20901888.

The previous prime is 86935669. The next prime is 86935711. The reversal of 86935680 is 8653968.

86935680 is a `hidden beast` number, since 86 + 9 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021739 + ... + 2021781.

Almost surely, 2^86935680 is an apocalyptic number.

86935680 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 86935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531360).

86935680 is an abundant number, since it is smaller than the sum of its proper divisors (256127040).

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

86935680 is a wasteful number, since it uses less digits than its factorization.

86935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 86935680 is about 9323.9305016715. The cubic root of 86935680 is about 442.9955379366.

The spelling of 86935680 in words is "eighty-six million, nine hundred thirty-five thousand, six hundred eighty".