23289984 has 128 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 7400448.

The previous prime is 23289979. The next prime is 23289989. The reversal of 23289984 is 48998232.

It is an interprime number because it is at equal distance from previous prime (23289979) and next prime (23289989).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (23289989) 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, 79342 + ... + 79634.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^23289984 is an apocalyptic number.

23289984 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 23289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

23289984 is an abundant number, since it is smaller than the sum of its proper divisors (48681216).

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

23289984 is a wasteful number, since it uses less digits than its factorization.

23289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 23289984 is about 4825.9697471078. The cubic root of 23289984 is about 285.5768924176.

The spelling of 23289984 in words is "twenty-three million, two hundred eighty-nine thousand, nine hundred eighty-four".