23652000 has 240 divisors, whose sum is σ = 87999912. Its totient is φ = 6220800.

The previous prime is 23651989. The next prime is 23652001. The reversal of 23652000 is 25632.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 15968016 = 2772^2 + 3996^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323964 + ... + 324036.

Almost surely, 2^23652000 is an apocalyptic number.

23652000 is a gapful number since it is divisible by the number (20) 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 23652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999956).

23652000 is an abundant number, since it is smaller than the sum of its proper divisors (64347912).

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

23652000 is an equidigital number, since it uses as much as digits as its factorization.

23652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23652000 is about 4863.3321909983. The cubic root of 23652000 is about 287.0489461535.

Adding to 23652000 its reverse (25632), we get a palindrome (23677632).

The spelling of 23652000 in words is "twenty-three million, six hundred fifty-two thousand".