10168840 has 64 divisors (see below), whose sum is σ = 25297920. Its totient is φ = 3678400.

The previous prime is 10168831. The next prime is 10168841. The reversal of 10168840 is 4886101.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10168799 and 10168808.

It is not an unprimeable number, because it can be changed into a prime (10168841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53145 + ... + 53335.

It is an arithmetic number, because the mean of its divisors is an integer number (395280).

Almost surely, 2^10168840 is an apocalyptic number.

10168840 is a gapful number since it is divisible by the number (10) 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 10168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648960).

10168840 is an abundant number, since it is smaller than the sum of its proper divisors (15129080).

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

10168840 is a wasteful number, since it uses less digits than its factorization.

10168840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 10168840 is about 3188.8618659327. The cubic root of 10168840 is about 216.6492241054.

The spelling of 10168840 in words is "ten million, one hundred sixty-eight thousand, eight hundred forty".