23530320 has 120 divisors (see below), whose sum is σ = 86235552. Its totient is φ = 5702400.

The previous prime is 23530307. The next prime is 23530327. The reversal of 23530320 is 2303532.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 23530293 and 23530302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23530327) 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 23 ways as a sum of consecutive naturals, for example, 6435 + ... + 9405.

Almost surely, 2^23530320 is an apocalyptic number.

23530320 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 23530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43117776).

23530320 is an abundant number, since it is smaller than the sum of its proper divisors (62705232).

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

23530320 is a wasteful number, since it uses less digits than its factorization.

23530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 23530320 is about 4850.8061185745. The cubic root of 23530320 is about 286.5558492404. Note that the first 3 decimals are identical.

Adding to 23530320 its reverse (2303532), we get a palindrome (25833852).

The spelling of 23530320 in words is "twenty-three million, five hundred thirty thousand, three hundred twenty".