23535648 has 72 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 7728000.

The previous prime is 23535583. The next prime is 23535653. The reversal of 23535648 is 84653532.

It is a happy number.

23535648 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19873 + ... + 21023.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^23535648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

23535648 is an abundant number, since it is smaller than the sum of its proper divisors (44395488).

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

23535648 is a wasteful number, since it uses less digits than its factorization.

23535648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 23535648 is about 4851.3552745599. The cubic root of 23535648 is about 286.5774760088.

It can be divided in two parts, 2353 and 5648, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 23535648 in words is "twenty-three million, five hundred thirty-five thousand, six hundred forty-eight".