10820940 has 48 divisors (see below), whose sum is σ = 32631648. Its totient is φ = 2663424.

The previous prime is 10820939. The next prime is 10820947. The reversal of 10820940 is 4902801.

It is a self number, because there is not a number n which added to its sum of digits gives 10820940.

It is not an unprimeable number, because it can be changed into a prime (10820947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 7716.

It is an arithmetic number, because the mean of its divisors is an integer number (679826).

Almost surely, 2^10820940 is an apocalyptic number.

10820940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820940 is an abundant number, since it is smaller than the sum of its proper divisors (21810708).

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

10820940 is a wasteful number, since it uses less digits than its factorization.

10820940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10820940 is about 3289.5197217831. The cubic root of 10820940 is about 221.1846562436.

The spelling of 10820940 in words is "ten million, eight hundred twenty thousand, nine hundred forty".