23201664 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 7096320.

The previous prime is 23201657. The next prime is 23201681. The reversal of 23201664 is 46610232.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326749 + ... + 326819.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^23201664 is an apocalyptic number.

23201664 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 23201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).

23201664 is an abundant number, since it is smaller than the sum of its proper divisors (43775616).

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

23201664 is a wasteful number, since it uses less digits than its factorization.

23201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23201664 is about 4816.8105630178. The cubic root of 23201664 is about 285.2154480465.

Adding to 23201664 its reverse (46610232), we get a palindrome (69811896).

The spelling of 23201664 in words is "twenty-three million, two hundred one thousand, six hundred sixty-four".