10385820 has 72 divisors (see below), whose sum is σ = 32685744. Its totient is φ = 2768256.

The previous prime is 10385813. The next prime is 10385831. The reversal of 10385820 is 2858301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3792 + ... + 5928.

Almost surely, 2^10385820 is an apocalyptic number.

10385820 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 10385820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342872).

10385820 is an abundant number, since it is smaller than the sum of its proper divisors (22299924).

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

10385820 is a wasteful number, since it uses less digits than its factorization.

10385820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10385820 is about 3222.7038337396. The cubic root of 10385820 is about 218.1793266761.

The spelling of 10385820 in words is "ten million, three hundred eighty-five thousand, eight hundred twenty".