10680628 has 18 divisors (see below), whose sum is σ = 21743106. Its totient is φ = 4577328.

The previous prime is 10680619. The next prime is 10680643. The reversal of 10680628 is 82608601.

10680628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7997584 + 2683044 = 2828^2 + 1638^2 .

It is a super-2 number, since 2×10680628² = 228151628948768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10680628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27051 + ... + 27442.

Almost surely, 2^10680628 is an apocalyptic number.

It is an amenable number.

10680628 is an abundant number, since it is smaller than the sum of its proper divisors (11062478).

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

10680628 is a wasteful number, since it uses less digits than its factorization.

10680628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54511 (or 54502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10680628 is about 3268.1230087009. The cubic root of 10680628 is about 220.2244816114.

The spelling of 10680628 in words is "ten million, six hundred eighty thousand, six hundred twenty-eight".