10068960 has 96 divisors (see below), whose sum is σ = 34618752. Its totient is φ = 2439680.

The previous prime is 10068953. The next prime is 10068967. The reversal of 10068960 is 6986001.

It is an interprime number because it is at equal distance from previous prime (10068953) and next prime (10068967).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (360612).

Almost surely, 2^10068960 is an apocalyptic number.

10068960 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 10068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309376).

10068960 is an abundant number, since it is smaller than the sum of its proper divisors (24549792).

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

10068960 is a wasteful number, since it uses less digits than its factorization.

10068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10068960 is about 3173.1624603855. The cubic root of 10068960 is about 215.9375676903.

The spelling of 10068960 in words is "ten million, sixty-eight thousand, nine hundred sixty".