10287168 has 56 divisors (see below), whose sum is σ = 27492960. Its totient is φ = 3394560.

The previous prime is 10287163. The next prime is 10287203. The reversal of 10287168 is 86178201.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10287163) 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, 24948 + ... + 25356.

Almost surely, 2^10287168 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 10287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746480).

10287168 is an abundant number, since it is smaller than the sum of its proper divisors (17205792).

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

10287168 is a wasteful number, since it uses less digits than its factorization.

10287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10287168 is about 3207.3615324749. The cubic root of 10287168 is about 217.4863196575.

The spelling of 10287168 in words is "ten million, two hundred eighty-seven thousand, one hundred sixty-eight".