10232820 has 72 divisors (see below), whose sum is σ = 33434856. Its totient is φ = 2518272.

The previous prime is 10232819. The next prime is 10232851. The reversal of 10232820 is 2823201.

It is a happy number.

10232820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 9960336 = 522^2 + 3156^2 .

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 = 10232793 and 10232802.

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, 154 + ... + 4526.

It is an arithmetic number, because the mean of its divisors is an integer number (464373).

Almost surely, 2^10232820 is an apocalyptic number.

10232820 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 10232820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717428).

10232820 is an abundant number, since it is smaller than the sum of its proper divisors (23202036).

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

10232820 is a wasteful number, since it uses less digits than its factorization.

10232820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4396 counting only the distinct ones).

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

The square root of 10232820 is about 3198.8779282742. The cubic root of 10232820 is about 217.1026435062.

The spelling of 10232820 in words is "ten million, two hundred thirty-two thousand, eight hundred twenty".