23538080 has 48 divisors (see below), whose sum is σ = 56083104. Its totient is φ = 9335040.

The previous prime is 23538043. The next prime is 23538089. The reversal of 23538080 is 8083532.

It is not an unprimeable number, because it can be changed into a prime (23538089) 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 7 ways as a sum of consecutive naturals, for example, 20399 + ... + 21521.

It is an arithmetic number, because the mean of its divisors is an integer number (1168398).

Almost surely, 2^23538080 is an apocalyptic number.

23538080 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 23538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041552).

23538080 is an abundant number, since it is smaller than the sum of its proper divisors (32545024).

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

23538080 is a wasteful number, since it uses less digits than its factorization.

23538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 23538080 is about 4851.6059196930. The cubic root of 23538080 is about 286.5873466019.

The spelling of 23538080 in words is "twenty-three million, five hundred thirty-eight thousand, eighty".