86107284 has 36 divisors (see below), whose sum is σ = 218268960. Its totient is φ = 28622160.

The previous prime is 86107283. The next prime is 86107291. The reversal of 86107284 is 48270168.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86107283) by changing a digit.

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, 10489 + ... + 16799.

Almost surely, 2^86107284 is an apocalyptic number.

It is an amenable number.

86107284 is an abundant number, since it is smaller than the sum of its proper divisors (132161676).

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

86107284 is a wasteful number, since it uses less digits than its factorization.

86107284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86107284 is about 9279.4010582580. The cubic root of 86107284 is about 441.5839673015.

The spelling of 86107284 in words is "eighty-six million, one hundred seven thousand, two hundred eighty-four".