20345200 has 60 divisors (see below), whose sum is σ = 51471160. Its totient is φ = 7706880.

The previous prime is 20345167. The next prime is 20345231. The reversal of 20345200 is 254302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6262 + ... + 8938.

Almost surely, 2^20345200 is an apocalyptic number.

20345200 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 20345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25735580).

20345200 is an abundant number, since it is smaller than the sum of its proper divisors (31125960).

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

20345200 is a wasteful number, since it uses less digits than its factorization.

20345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 20345200 is about 4510.5653747618. The cubic root of 20345200 is about 272.9945568201.

Adding to 20345200 its reverse (254302), we get a palindrome (20599502).

The spelling of 20345200 in words is "twenty million, three hundred forty-five thousand, two hundred".