10680272 has 20 divisors (see below), whose sum is σ = 21253476. Its totient is φ = 5195520.

The previous prime is 10680253. The next prime is 10680281. The reversal of 10680272 is 27208601.

It can be written as a sum of positive squares in 2 ways, for example, as 4648336 + 6031936 = 2156^2 + 2456^2 .

It is a super-2 number, since 2×10680272² = 228136419987968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8429 + ... + 9612.

Almost surely, 2^10680272 is an apocalyptic number.

It is an amenable number.

10680272 is a deficient number, since it is larger than the sum of its proper divisors (10573204).

10680272 is a wasteful number, since it uses less digits than its factorization.

10680272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10680272 is about 3268.0685427328. The cubic root of 10680272 is about 220.2220347894. Note that the first 3 decimals are identical.

Adding to 10680272 its reverse (27208601), we get a palindrome (37888873).

The spelling of 10680272 in words is "ten million, six hundred eighty thousand, two hundred seventy-two".