86009940 has 72 divisors (see below), whose sum is σ = 269909640. Its totient is φ = 22143744.

The previous prime is 86009909. The next prime is 86009947. The reversal of 86009940 is 4990068.

86009940 is a `hidden beast` number, since 8 + 600 + 9 + 9 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5225796 + 80784144 = 2286^2 + 8988^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 86009895 and 86009904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86009947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3019 + ... + 13458.

It is an arithmetic number, because the mean of its divisors is an integer number (3748745).

Almost surely, 2^86009940 is an apocalyptic number.

It is an amenable number.

86009940 is an abundant number, since it is smaller than the sum of its proper divisors (183899700).

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

86009940 is a wasteful number, since it uses less digits than its factorization.

86009940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16521 (or 16516 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 86009940 is about 9274.1544088936. The cubic root of 86009940 is about 441.4175014842.

The spelling of 86009940 in words is "eighty-six million, nine thousand, nine hundred forty".