10290168 has 96 divisors (see below), whose sum is σ = 33752160. Its totient is φ = 2764800.

The previous prime is 10290167. The next prime is 10290169. The reversal of 10290168 is 86109201.

10290168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10290167) and next prime (10290169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7968 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (351585).

Almost surely, 2^10290168 is an apocalyptic number.

10290168 is a gapful number since it is divisible by the number (18) 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 10290168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876080).

10290168 is an abundant number, since it is smaller than the sum of its proper divisors (23461992).

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

10290168 is a wasteful number, since it uses less digits than its factorization.

10290168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10290168 is about 3207.8291725090. The cubic root of 10290168 is about 217.5074591179.

Adding to 10290168 its reverse (86109201), we get a palindrome (96399369).

The spelling of 10290168 in words is "ten million, two hundred ninety thousand, one hundred sixty-eight".