86648240 has 80 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 29556480.

The previous prime is 86648231. The next prime is 86648251. The reversal of 86648240 is 4284668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 86648194 and 86648203.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 200825 + ... + 201255.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^86648240 is an apocalyptic number.

86648240 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 86648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

86648240 is an abundant number, since it is smaller than the sum of its proper divisors (144765520).

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

86648240 is a wasteful number, since it uses less digits than its factorization.

86648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 86648240 is about 9308.5036391463. The cubic root of 86648240 is about 442.5067657259.

The spelling of 86648240 in words is "eighty-six million, six hundred forty-eight thousand, two hundred forty".