86167200 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 18754560.

The previous prime is 86167187. The next prime is 86167231. The reversal of 86167200 is 276168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 386289 + ... + 386511.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^86167200 is an apocalyptic number.

86167200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

86167200 is an abundant number, since it is smaller than the sum of its proper divisors (249811296).

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

86167200 is a wasteful number, since it uses less digits than its factorization.

86167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 86167200 is about 9282.6289379680. The cubic root of 86167200 is about 441.6863659581.

The spelling of 86167200 in words is "eighty-six million, one hundred sixty-seven thousand, two hundred".