23642080 has 192 divisors, whose sum is σ = 74027520. Its totient is φ = 6912000.

The previous prime is 23642063. The next prime is 23642107. The reversal of 23642080 is 8024632.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234030 + ... + 234130.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^23642080 is an apocalyptic number.

23642080 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 23642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

23642080 is an abundant number, since it is smaller than the sum of its proper divisors (50385440).

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

23642080 is a wasteful number, since it uses less digits than its factorization.

23642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23642080 is about 4862.3122071706. The cubic root of 23642080 is about 287.0088096783.

It can be divided in two parts, 2364 and 2080, that added together give a palindrome (4444).

The spelling of 23642080 in words is "twenty-three million, six hundred forty-two thousand, eighty".