23920200 has 144 divisors (see below), whose sum is σ = 81752580. Its totient is φ = 6266880.

The previous prime is 23920199. The next prime is 23920201. The reversal of 23920200 is 202932.

It is an interprime number because it is at equal distance from previous prime (23920199) and next prime (23920201).

It can be written as a sum of positive squares in 6 ways, for example, as 9036036 + 14884164 = 3006^2 + 3858^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23920201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174532 + ... + 174668.

Almost surely, 2^23920200 is an apocalyptic number.

23920200 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 23920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876290).

23920200 is an abundant number, since it is smaller than the sum of its proper divisors (57832380).

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

23920200 is a wasteful number, since it uses less digits than its factorization.

23920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23920200 is about 4890.8281507328. The cubic root of 23920200 is about 288.1298604181.

The spelling of 23920200 in words is "twenty-three million, nine hundred twenty thousand, two hundred".