10477768 has 24 divisors (see below), whose sum is σ = 22854150. Its totient is φ = 4490304.

The previous prime is 10477741. The next prime is 10477781. The reversal of 10477768 is 86777401.

10477768 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., 8398404 + 2079364 = 2898^2 + 1442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10477768.

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, 12973 + ... + 13756.

Almost surely, 2^10477768 is an apocalyptic number.

It is an amenable number.

10477768 is an abundant number, since it is smaller than the sum of its proper divisors (12376382).

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

10477768 is a wasteful number, since it uses less digits than its factorization.

10477768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26749 (or 26738 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 10477768 is about 3236.9380593394. The cubic root of 10477768 is about 218.8212994248.

The spelling of 10477768 in words is "ten million, four hundred seventy-seven thousand, seven hundred sixty-eight".