20055600 has 150 divisors (see below), whose sum is σ = 72094220. Its totient is φ = 5339520.

The previous prime is 20055599. The next prime is 20055611. The reversal of 20055600 is 655002.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32091 + ... + 32709.

Almost surely, 2^20055600 is an apocalyptic number.

20055600 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 20055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36047110).

20055600 is an abundant number, since it is smaller than the sum of its proper divisors (52038620).

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

20055600 is a wasteful number, since it uses less digits than its factorization.

20055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20055600 is about 4478.3479096649. The cubic root of 20055600 is about 271.6930649612.

The spelling of 20055600 in words is "twenty million, fifty-five thousand, six hundred".