10672768 has 32 divisors (see below), whose sum is σ = 21420000. Its totient is φ = 5296896.

The previous prime is 10672741. The next prime is 10672777. The reversal of 10672768 is 86727601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10672768² = 227815953563648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25263 + ... + 25681.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 2^10672768 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 10672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710000).

10672768 is an abundant number, since it is smaller than the sum of its proper divisors (10747232).

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

10672768 is an equidigital number, since it uses as much as digits as its factorization.

10672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 10672768 is about 3266.9202622654. The cubic root of 10672768 is about 220.1704464238.

The spelling of 10672768 in words is "ten million, six hundred seventy-two thousand, seven hundred sixty-eight".