23830820 has 48 divisors (see below), whose sum is σ = 54340608. Its totient is φ = 8726400.

The previous prime is 23830819. The next prime is 23830823. The reversal of 23830820 is 2803832.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23830820.

It is not an unprimeable number, because it can be changed into a prime (23830823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38957 + ... + 39563.

It is an arithmetic number, because the mean of its divisors is an integer number (1132096).

Almost surely, 2^23830820 is an apocalyptic number.

23830820 is a gapful number since it is divisible by the number (20) 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 23830820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170304).

23830820 is an abundant number, since it is smaller than the sum of its proper divisors (30509788).

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

23830820 is a wasteful number, since it uses less digits than its factorization.

23830820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 23830820 is about 4881.6820871499. The cubic root of 23830820 is about 287.7705380340.

It can be divided in two parts, 238308 and 20, that added together give a cube (238328 = 62³).

The spelling of 23830820 in words is "twenty-three million, eight hundred thirty thousand, eight hundred twenty".