10403820 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2268288.

The previous prime is 10403819. The next prime is 10403831. The reversal of 10403820 is 2830401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10403793 and 10403802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28801 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^10403820 is an apocalyptic number.

10403820 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 10403820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10403820 is an abundant number, since it is smaller than the sum of its proper divisors (27335700).

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

10403820 is a wasteful number, since it uses less digits than its factorization.

10403820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10403820 is about 3225.4953108011. The cubic root of 10403820 is about 218.3052984742.

The spelling of 10403820 in words is "ten million, four hundred three thousand, eight hundred twenty".