23630208 has 128 divisors (see below), whose sum is σ = 73440000. Its totient is φ = 6592512.

The previous prime is 23630207. The next prime is 23630213. The reversal of 23630208 is 80203632.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23630207) 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, 158518 + ... + 158666.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^23630208 is an apocalyptic number.

23630208 is a gapful number since it is divisible by the number (28) 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 23630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

23630208 is an abundant number, since it is smaller than the sum of its proper divisors (49809792).

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

23630208 is a wasteful number, since it uses less digits than its factorization.

23630208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23630208 is about 4861.0912355149. The cubic root of 23630208 is about 286.9607606193.

The spelling of 23630208 in words is "twenty-three million, six hundred thirty thousand, two hundred eight".