86103936 has 96 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 27985920.

The previous prime is 86103889. The next prime is 86103943. The reversal of 86103936 is 63930168.

It is a happy number.

86103936 is a `hidden beast` number, since 8 + 610 + 3 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86103936.

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 11 ways as a sum of consecutive naturals, for example, 46321 + ... + 48143.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^86103936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

86103936 is an abundant number, since it is smaller than the sum of its proper divisors (167851584).

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

86103936 is a wasteful number, since it uses less digits than its factorization.

86103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 86103936 is about 9279.2206569302. The cubic root of 86103936 is about 441.5782440448.

The spelling of 86103936 in words is "eighty-six million, one hundred three thousand, nine hundred thirty-six".