20928960 has 252 divisors, whose sum is σ = 79763112. Its totient is φ = 5031936.

The previous prime is 20928949. The next prime is 20928961. The reversal of 20928960 is 6982902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20928961) 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 35 ways as a sum of consecutive naturals, for example, 486699 + ... + 486741.

Almost surely, 2^20928960 is an apocalyptic number.

20928960 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 20928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39881556).

20928960 is an abundant number, since it is smaller than the sum of its proper divisors (58834152).

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

20928960 is a wasteful number, since it uses less digits than its factorization.

20928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20928960 is about 4574.8180291679. The cubic root of 20928960 is about 275.5809646281.

The spelling of 20928960 in words is "twenty million, nine hundred twenty-eight thousand, nine hundred sixty".