20945600 has 168 divisors, whose sum is σ = 59527440. Its totient is φ = 7188480.

The previous prime is 20945591. The next prime is 20945609. The reversal of 20945600 is 654902.

It is an interprime number because it is at equal distance from previous prime (20945591) and next prime (20945609).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20945600.

It is not an unprimeable number, because it can be changed into a prime (20945609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395174 + ... + 395226.

It is an arithmetic number, because the mean of its divisors is an integer number (354330).

Almost surely, 2^20945600 is an apocalyptic number.

20945600 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 20945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

20945600 is an abundant number, since it is smaller than the sum of its proper divisors (38581840).

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

20945600 is a wasteful number, since it uses less digits than its factorization.

20945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 20945600 is about 4576.6363193944. The cubic root of 20945600 is about 275.6539807180.

The spelling of 20945600 in words is "twenty million, nine hundred forty-five thousand, six hundred".