10168640 has 56 divisors (see below), whose sum is σ = 24810720. Its totient is φ = 3967488.

The previous prime is 10168637. The next prime is 10168661. The reversal of 10168640 is 4686101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13391 + ... + 14129.

Almost surely, 2^10168640 is an apocalyptic number.

10168640 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 10168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405360).

10168640 is an abundant number, since it is smaller than the sum of its proper divisors (14642080).

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

10168640 is an equidigital number, since it uses as much as digits as its factorization.

10168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10168640 is about 3188.8305066278. The cubic root of 10168640 is about 216.6478037490.

The spelling of 10168640 in words is "ten million, one hundred sixty-eight thousand, six hundred forty".