23640000 has 140 divisors (see below), whose sum is σ = 78556104. Its totient is φ = 6272000.

The previous prime is 23639999. The next prime is 23640037. The reversal of 23640000 is 4632.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119902 + ... + 120098.

Almost surely, 2^23640000 is an apocalyptic number.

23640000 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 23640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39278052).

23640000 is an abundant number, since it is smaller than the sum of its proper divisors (54916104).

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

23640000 is an equidigital number, since it uses as much as digits as its factorization.

23640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23640000 is about 4862.0983124573. The cubic root of 23640000 is about 287.0003925420. Note that the first 3 decimals are identical.

Adding to 23640000 its reverse (4632), we get a palindrome (23644632).

The spelling of 23640000 in words is "twenty-three million, six hundred forty thousand".