10430820 has 72 divisors (see below), whose sum is σ = 31921344. Its totient is φ = 2756928.

The previous prime is 10430813. The next prime is 10430821. The reversal of 10430820 is 2803401.

It is a happy number.

10430820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10430793 and 10430802.

It is not an unprimeable number, because it can be changed into a prime (10430821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29887 + ... + 30233.

It is an arithmetic number, because the mean of its divisors is an integer number (443352).

Almost surely, 2^10430820 is an apocalyptic number.

10430820 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 10430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960672).

10430820 is an abundant number, since it is smaller than the sum of its proper divisors (21490524).

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

10430820 is a wasteful number, since it uses less digits than its factorization.

10430820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 524 counting only the distinct ones).

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

The square root of 10430820 is about 3229.6780025259. The cubic root of 10430820 is about 218.4939840238.

The spelling of 10430820 in words is "ten million, four hundred thirty thousand, eight hundred twenty".