10307820 has 48 divisors (see below), whose sum is σ = 29080800. Its totient is φ = 2727936.

The previous prime is 10307813. The next prime is 10307821. The reversal of 10307820 is 2870301.

10307820 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 not an unprimeable number, because it can be changed into a prime (10307821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8364 + ... + 9516.

It is an arithmetic number, because the mean of its divisors is an integer number (605850).

Almost surely, 2^10307820 is an apocalyptic number.

10307820 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 10307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540400).

10307820 is an abundant number, since it is smaller than the sum of its proper divisors (18772980).

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

10307820 is a wasteful number, since it uses less digits than its factorization.

10307820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10307820 is about 3210.5793869643. The cubic root of 10307820 is about 217.6317605655.

The spelling of 10307820 in words is "ten million, three hundred seven thousand, eight hundred twenty".