20648960 has 88 divisors (see below), whose sum is σ = 51338760. Its totient is φ = 7962624.

The previous prime is 20648951. The next prime is 20648977. The reversal of 20648960 is 6984602.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 13075456 = 2752^2 + 3616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20648960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189386 + ... + 189494.

It is an arithmetic number, because the mean of its divisors is an integer number (583395).

Almost surely, 2^20648960 is an apocalyptic number.

20648960 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 20648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25669380).

20648960 is an abundant number, since it is smaller than the sum of its proper divisors (30689800).

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

20648960 is a wasteful number, since it uses less digits than its factorization.

20648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 20648960 is about 4544.1126746594. The cubic root of 20648960 is about 274.3464812453.

The spelling of 20648960 in words is "twenty million, six hundred forty-eight thousand, nine hundred sixty".