20649600 has 192 divisors, whose sum is σ = 75888000. Its totient is φ = 5483520.

The previous prime is 20649593. The next prime is 20649613. The reversal of 20649600 is 694602.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 86281 + ... + 86519.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^20649600 is an apocalyptic number.

20649600 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 20649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000).

20649600 is an abundant number, since it is smaller than the sum of its proper divisors (55238400).

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

20649600 is a wasteful number, since it uses less digits than its factorization.

20649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20649600 is about 4544.1830949028. The cubic root of 20649600 is about 274.3493156081.

It can be divided in two parts, 2064 and 9600, that added together give a square (11664 = 108²).

The spelling of 20649600 in words is "twenty million, six hundred forty-nine thousand, six hundred".