86686240 has 48 divisors (see below), whose sum is σ = 205426368. Its totient is φ = 34567936.

The previous prime is 86686219. The next prime is 86686253. The reversal of 86686240 is 4268668.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 86686193 and 86686202.

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 7 ways as a sum of consecutive naturals, for example, 70269 + ... + 71491.

It is an arithmetic number, because the mean of its divisors is an integer number (4279716).

Almost surely, 2^86686240 is an apocalyptic number.

86686240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86686240 is an abundant number, since it is smaller than the sum of its proper divisors (118740128).

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

86686240 is a wasteful number, since it uses less digits than its factorization.

86686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 86686240 is about 9310.5445597989. The cubic root of 86686240 is about 442.5714440912.

The spelling of 86686240 in words is "eighty-six million, six hundred eighty-six thousand, two hundred forty".