86167552 has 52 divisors (see below), whose sum is σ = 174795940. Its totient is φ = 42467328.

The previous prime is 86167513. The next prime is 86167579. The reversal of 86167552 is 25576168.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 46022656 = 6336^2 + 6784^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446368 + ... + 446560.

Almost surely, 2^86167552 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 86167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87397970).

86167552 is an abundant number, since it is smaller than the sum of its proper divisors (88628388).

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

86167552 is a wasteful number, since it uses less digits than its factorization.

86167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The square root of 86167552 is about 9282.6478980946. The cubic root of 86167552 is about 441.6869673988.

The spelling of 86167552 in words is "eighty-six million, one hundred sixty-seven thousand, five hundred fifty-two".