10477120 has 56 divisors (see below), whose sum is σ = 25831800. Its totient is φ = 4042752.

The previous prime is 10477097. The next prime is 10477123. The reversal of 10477120 is 2177401.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 10394176 = 288^2 + 3224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10477091 and 10477100.

It is not an unprimeable number, because it can be changed into a prime (10477123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8716 + ... + 9844.

Almost surely, 2^10477120 is an apocalyptic number.

10477120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12915900).

10477120 is an abundant number, since it is smaller than the sum of its proper divisors (15354680).

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

10477120 is a wasteful number, since it uses less digits than its factorization.

10477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 10477120 is about 3236.8379631980. The cubic root of 10477120 is about 218.8167883137.

The spelling of 10477120 in words is "ten million, four hundred seventy-seven thousand, one hundred twenty".