10352820 has 48 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 2733696.

The previous prime is 10352819. The next prime is 10352827. The reversal of 10352820 is 2825301.

It is a super-3 number, since 3×10352820³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352827) 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, 5749 + ... + 7331.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 2^10352820 is an apocalyptic number.

10352820 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 10352820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

10352820 is an abundant number, since it is smaller than the sum of its proper divisors (18919500).

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

10352820 is a wasteful number, since it uses less digits than its factorization.

10352820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10352820 is about 3217.5798358394. The cubic root of 10352820 is about 217.9479998297.

The spelling of 10352820 in words is "ten million, three hundred fifty-two thousand, eight hundred twenty".