23642160 has 80 divisors (see below), whose sum is σ = 76495104. Its totient is φ = 6029056.

The previous prime is 23642153. The next prime is 23642161. The reversal of 23642160 is 6124632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23642160.

It is not an unprimeable number, because it can be changed into a prime (23642161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3379 + ... + 7661.

Almost surely, 2^23642160 is an apocalyptic number.

23642160 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 23642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247552).

23642160 is an abundant number, since it is smaller than the sum of its proper divisors (52852944).

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

23642160 is a wasteful number, since it uses less digits than its factorization.

23642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23642160 is about 4862.3204337024. The cubic root of 23642160 is about 287.0091334045.

Adding to 23642160 its reverse (6124632), we get a palindrome (29766792).

The spelling of 23642160 in words is "twenty-three million, six hundred forty-two thousand, one hundred sixty".