86137164 has 72 divisors (see below), whose sum is σ = 233080848. Its totient is φ = 26726400.

The previous prime is 86137111. The next prime is 86137169. The reversal of 86137164 is 46173168.

It is a super-2 number, since 2×86137164² = 14839222043925792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86137169) 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 23 ways as a sum of consecutive naturals, for example, 58639 + ... + 60089.

It is an arithmetic number, because the mean of its divisors is an integer number (3237234).

Almost surely, 2^86137164 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 86137164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116540424).

86137164 is an abundant number, since it is smaller than the sum of its proper divisors (146943684).

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

86137164 is a wasteful number, since it uses less digits than its factorization.

86137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1570 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 86137164 is about 9281.0109363151. The cubic root of 86137164 is about 441.6350392605.

It can be divided in two parts, 861 and 37164, that added together give a square (38025 = 195²).

The spelling of 86137164 in words is "eighty-six million, one hundred thirty-seven thousand, one hundred sixty-four".