86790168 has 144 divisors (see below), whose sum is σ = 258137880. Its totient is φ = 26320896.

The previous prime is 86790167. The next prime is 86790181. The reversal of 86790168 is 86109768.

It is a happy number.

It is a super-2 number, since 2×86790168² = 15065066522936448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86790163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894696 + ... + 894792.

Almost surely, 2^86790168 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 86790168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129068940).

86790168 is an abundant number, since it is smaller than the sum of its proper divisors (171347712).

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

86790168 is a wasteful number, since it uses less digits than its factorization.

86790168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86790168 is about 9316.1240867648. The cubic root of 86790168 is about 442.7482395316.

The spelling of 86790168 in words is "eighty-six million, seven hundred ninety thousand, one hundred sixty-eight".