10067968 has 28 divisors (see below), whose sum is σ = 20151090. Its totient is φ = 5029888.

The previous prime is 10067957. The next prime is 10067969. The reversal of 10067968 is 86976001.

It can be written as a sum of positive squares in only one way, i.e., 5607424 + 4460544 = 2368^2 + 2112^2 .

It is not an unprimeable number, because it can be changed into a prime (10067969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7578 + ... + 8806.

Almost surely, 2^10067968 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 10067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075545).

10067968 is an abundant number, since it is smaller than the sum of its proper divisors (10083122).

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

10067968 is an frugal number, since it uses more digits than its factorization.

10067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 10067968 is about 3173.0061455976. The cubic root of 10067968 is about 215.9304760243.

The spelling of 10067968 in words is "ten million, sixty-seven thousand, nine hundred sixty-eight".