10087168 has 72 divisors (see below), whose sum is σ = 24838688. Its totient is φ = 3981312.

The previous prime is 10087163. The next prime is 10087169. The reversal of 10087168 is 86178001.

It is not an unprimeable number, because it can be changed into a prime (10087163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23080 + ... + 23512.

Almost surely, 2^10087168 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 10087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419344).

10087168 is an abundant number, since it is smaller than the sum of its proper divisors (14751520).

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

10087168 is an equidigital number, since it uses as much as digits as its factorization.

10087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 10087168 is about 3176.0302265564. The cubic root of 10087168 is about 216.0676514202.

It can be divided in two parts, 1008 and 7168, that multiplied together give a square (7225344 = 2688²).

The spelling of 10087168 in words is "ten million, eighty-seven thousand, one hundred sixty-eight".