23427200 has 48 divisors (see below), whose sum is σ = 57880410. Its totient is φ = 9369600.

The previous prime is 23427193. The next prime is 23427211. The reversal of 23427200 is 272432.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8620096 + 14807104 = 2936^2 + 3848^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461 + ... + 6860.

Almost surely, 2^23427200 is an apocalyptic number.

23427200 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 23427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28940205).

23427200 is an abundant number, since it is smaller than the sum of its proper divisors (34453210).

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

23427200 is an equidigital number, since it uses as much as digits as its factorization.

23427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 23427200 is about 4840.1652864339. The cubic root of 23427200 is about 286.1366325164.

Adding to 23427200 its reverse (272432), we get a palindrome (23699632).

The spelling of 23427200 in words is "twenty-three million, four hundred twenty-seven thousand, two hundred".