20325600 has 144 divisors (see below), whose sum is σ = 73589040. Its totient is φ = 5414400.

The previous prime is 20325581. The next prime is 20325619. The reversal of 20325600 is 652302.

It is an interprime number because it is at equal distance from previous prime (20325581) and next prime (20325619).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21130 + ... + 22070.

It is an arithmetic number, because the mean of its divisors is an integer number (511035).

Almost surely, 2^20325600 is an apocalyptic number.

20325600 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 20325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36794520).

20325600 is an abundant number, since it is smaller than the sum of its proper divisors (53263440).

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

20325600 is a wasteful number, since it uses less digits than its factorization.

20325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20325600 is about 4508.3921746006. The cubic root of 20325600 is about 272.9068635317.

Adding to 20325600 its reverse (652302), we get a palindrome (20977902).

The spelling of 20325600 in words is "twenty million, three hundred twenty-five thousand, six hundred".