86107164 has 144 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 22654080.

The previous prime is 86107163. The next prime is 86107171. The reversal of 86107164 is 46170168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86107163) 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 47 ways as a sum of consecutive naturals, for example, 619407 + ... + 619545.

It is an arithmetic number, because the mean of its divisors is an integer number (1742440).

Almost surely, 2^86107164 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 86107164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

86107164 is an abundant number, since it is smaller than the sum of its proper divisors (164804196).

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

86107164 is a wasteful number, since it uses less digits than its factorization.

86107164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 86107164 is about 9279.3945923212. The cubic root of 86107164 is about 441.5837621694.

The spelling of 86107164 in words is "eighty-six million, one hundred seven thousand, one hundred sixty-four".