86167152 has 100 divisors (see below), whose sum is σ = 264130416. Its totient is φ = 27025920.

The previous prime is 86167129. The next prime is 86167183. The reversal of 86167152 is 25176168.

It is a super-2 number, since 2×86167152² = 14849556167582208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20077 + ... + 23987.

Almost surely, 2^86167152 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 86167152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132065208).

86167152 is an abundant number, since it is smaller than the sum of its proper divisors (177963264).

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

86167152 is a wasteful number, since it uses less digits than its factorization.

86167152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3933 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 86167152 is about 9282.6263524931. The cubic root of 86167152 is about 441.6862839433.

The spelling of 86167152 in words is "eighty-six million, one hundred sixty-seven thousand, one hundred fifty-two".