23853648 has 160 divisors (see below), whose sum is σ = 78217216. Its totient is φ = 6096384.

The previous prime is 23853647. The next prime is 23853649. The reversal of 23853648 is 84635832.

It is an interprime number because it is at equal distance from previous prime (23853647) and next prime (23853649).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23853647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187761 + ... + 187887.

Almost surely, 2^23853648 is an apocalyptic number.

23853648 is a gapful number since it is divisible by the number (28) 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 23853648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39108608).

23853648 is an abundant number, since it is smaller than the sum of its proper divisors (54363568).

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

23853648 is a wasteful number, since it uses less digits than its factorization.

23853648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 23853648 is about 4884.0196559801. The cubic root of 23853648 is about 287.8623956839.

The spelling of 23853648 in words is "twenty-three million, eight hundred fifty-three thousand, six hundred forty-eight".