23668000 has 96 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 9216000.

The previous prime is 23667997. The next prime is 23668003. The reversal of 23668000 is 86632.

It is an interprime number because it is at equal distance from previous prime (23667997) and next prime (23668003).

It can be written as a sum of positive squares in 8 ways, for example, as 512656 + 23155344 = 716^2 + 4812^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23668003) 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, 243952 + ... + 244048.

Almost surely, 2^23668000 is an apocalyptic number.

23668000 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 23668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

23668000 is an abundant number, since it is smaller than the sum of its proper divisors (36046928).

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

23668000 is an equidigital number, since it uses as much as digits as its factorization.

23668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 23668000 is about 4864.9768755874. The cubic root of 23668000 is about 287.1136587627.

The spelling of 23668000 in words is "twenty-three million, six hundred sixty-eight thousand".