10605816 has 80 divisors (see below), whose sum is σ = 32016600. Its totient is φ = 3260736.

The previous prime is 10605797. The next prime is 10605817. The reversal of 10605816 is 61850601.

10605816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10605816² = 224966666051712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10605816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7795 + ... + 9053.

Almost surely, 2^10605816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008300).

10605816 is an abundant number, since it is smaller than the sum of its proper divisors (21410784).

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

10605816 is a wasteful number, since it uses less digits than its factorization.

10605816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10605816 is about 3256.6571818354. The cubic root of 10605816 is about 219.7090920835.

The spelling of 10605816 in words is "ten million, six hundred five thousand, eight hundred sixteen".