86242240 has 56 divisors (see below), whose sum is σ = 234708192. Its totient is φ = 29568000.

The previous prime is 86242231. The next prime is 86242267. The reversal of 86242240 is 4224268.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 86242199 and 86242208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17011 + ... + 21490.

Almost surely, 2^86242240 is an apocalyptic number.

86242240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86242240 is an abundant number, since it is smaller than the sum of its proper divisors (148465952).

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

86242240 is a wasteful number, since it uses less digits than its factorization.

86242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38525 (or 38515 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 86242240 is about 9286.6700167498. The cubic root of 86242240 is about 441.8145451578.

The spelling of 86242240 in words is "eighty-six million, two hundred forty-two thousand, two hundred forty".