20655600 has 120 divisors (see below), whose sum is σ = 75649920. Its totient is φ = 4719360.

The previous prime is 20655563. The next prime is 20655619. The reversal of 20655600 is 655602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20655600² = 853307622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7171 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (630416).

Almost surely, 2^20655600 is an apocalyptic number.

20655600 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 20655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37824960).

20655600 is an abundant number, since it is smaller than the sum of its proper divisors (54994320).

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

20655600 is a wasteful number, since it uses less digits than its factorization.

20655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 20655600 is about 4544.8432316198. The cubic root of 20655600 is about 274.3758849120.

The spelling of 20655600 in words is "twenty million, six hundred fifty-five thousand, six hundred".