23632000 has 128 divisors (see below), whose sum is σ = 67466880. Its totient is φ = 8064000.

The previous prime is 23631997. The next prime is 23632027. The reversal of 23632000 is 23632.

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 (16).

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, 111895 + ... + 112105.

It is an arithmetic number, because the mean of its divisors is an integer number (527085).

Almost surely, 2^23632000 is an apocalyptic number.

23632000 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 23632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33733440).

23632000 is an abundant number, since it is smaller than the sum of its proper divisors (43834880).

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

23632000 is an equidigital number, since it uses as much as digits as its factorization.

23632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23632000 is about 4861.2755527742. The cubic root of 23632000 is about 286.9680143386.

Adding to 23632000 its reverse (23632), we get a palindrome (23655632).

23632000 divided by its reverse (23632) gives a cube (1000 = 10³).

The spelling of 23632000 in words is "twenty-three million, six hundred thirty-two thousand".