10556416 has 66 divisors (see below), whose sum is σ = 23225262. Its totient is φ = 4792320.

The previous prime is 10556411. The next prime is 10556423. The reversal of 10556416 is 61465501.

It can be written as a sum of positive squares in 3 ways, for example, as 921600 + 9634816 = 960^2 + 3104^2 .

It is a super-2 number, since 2×10556416² = 222875837530112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173026 + ... + 173086.

Almost surely, 2^10556416 is an apocalyptic number.

10556416 is a gapful number since it is divisible by the number (16) 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 10556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612631).

10556416 is an abundant number, since it is smaller than the sum of its proper divisors (12668846).

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

10556416 is an equidigital number, since it uses as much as digits as its factorization.

10556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 10556416 is about 3249.0638651772. The cubic root of 10556416 is about 219.3674391541.

The spelling of 10556416 in words is "ten million, five hundred fifty-six thousand, four hundred sixteen".