23285376 has 192 divisors, whose sum is σ = 75184200. Its totient is φ = 6881280.

The previous prime is 23285363. The next prime is 23285377. The reversal of 23285376 is 67358232.

23285376 is a `hidden beast` number, since 2 + 3 + 285 + 376 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 5645376 = 4200^2 + 2376^2 .

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

It is a super-2 number, since 2×23285376² = 1084417470922752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23285376.

It is not an unprimeable number, because it can be changed into a prime (23285377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567916 + ... + 567956.

Almost surely, 2^23285376 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 23285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592100).

23285376 is an abundant number, since it is smaller than the sum of its proper divisors (51898824).

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

23285376 is a wasteful number, since it uses less digits than its factorization.

23285376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23285376 is about 4825.4923064906. The cubic root of 23285376 is about 285.5580570659.

The spelling of 23285376 in words is "twenty-three million, two hundred eighty-five thousand, three hundred seventy-six".