10477864 has 16 divisors (see below), whose sum is σ = 19696500. Its totient is φ = 5225472.

The previous prime is 10477823. The next prime is 10477867. The reversal of 10477864 is 46877401.

10477864 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 2 ways, for example, as 8655364 + 1822500 = 2942^2 + 1350^2 .

It is not an unprimeable number, because it can be changed into a prime (10477867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2134 + ... + 5050.

Almost surely, 2^10477864 is an apocalyptic number.

It is an amenable number.

10477864 is a deficient number, since it is larger than the sum of its proper divisors (9218636).

10477864 is a wasteful number, since it uses less digits than its factorization.

10477864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 10477864 is about 3236.9528881341. The cubic root of 10477864 is about 218.8219677217.

It can be divided in two parts, 1047 and 7864, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 10477864 in words is "ten million, four hundred seventy-seven thousand, eight hundred sixty-four".