23784768 has 168 divisors, whose sum is σ = 82734912. Its totient is φ = 6377472.

The previous prime is 23784749. The next prime is 23784779. The reversal of 23784768 is 86748732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68371 + ... + 68717.

Almost surely, 2^23784768 is an apocalyptic number.

23784768 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 23784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367456).

23784768 is an abundant number, since it is smaller than the sum of its proper divisors (58950144).

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

23784768 is a wasteful number, since it uses less digits than its factorization.

23784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 23784768 is about 4876.9629894023. The cubic root of 23784768 is about 287.5850505776.

The spelling of 23784768 in words is "twenty-three million, seven hundred eighty-four thousand, seven hundred sixty-eight".