23193984 has 192 divisors, whose sum is σ = 75153600. Its totient is φ = 6266880.

The previous prime is 23193979. The next prime is 23193991. The reversal of 23193984 is 48939132.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (46656) is a multiple of the sum of its prime factors (81).

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, 1220727 + ... + 1220745.

It is an arithmetic number, because the mean of its divisors is an integer number (391425).

Almost surely, 2^23193984 is an apocalyptic number.

23193984 is a gapful number since it is divisible by the number (24) 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 23193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576800).

23193984 is an abundant number, since it is smaller than the sum of its proper divisors (51959616).

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

23193984 is a wasteful number, since it uses less digits than its factorization.

23193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 23193984 is about 4816.0132890182. The cubic root of 23193984 is about 285.1839747813.

The spelling of 23193984 in words is "twenty-three million, one hundred ninety-three thousand, nine hundred eighty-four".