10820516 has 24 divisors (see below), whose sum is σ = 21719040. Its totient is φ = 4620672.

The previous prime is 10820503. The next prime is 10820521. The reversal of 10820516 is 61502801.

It is a junction number, because it is equal to n+sod(n) for n = 10820491 and 10820500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10220 + ... + 11228.

It is an arithmetic number, because the mean of its divisors is an integer number (904960).

Almost surely, 2^10820516 is an apocalyptic number.

It is an amenable number.

10820516 is an abundant number, since it is smaller than the sum of its proper divisors (10898524).

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

10820516 is a wasteful number, since it uses less digits than its factorization.

10820516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10820516 is about 3289.4552740537. The cubic root of 10820516 is about 221.1817672919.

The spelling of 10820516 in words is "ten million, eight hundred twenty thousand, five hundred sixteen".