20772960 has 96 divisors (see below), whose sum is σ = 70489440. Its totient is φ = 5111808.

The previous prime is 20772949. The next prime is 20773043. The reversal of 20772960 is 6927702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4576 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (734265).

Almost surely, 2^20772960 is an apocalyptic number.

20772960 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 20772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35244720).

20772960 is an abundant number, since it is smaller than the sum of its proper divisors (49716480).

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

20772960 is a wasteful number, since it uses less digits than its factorization.

20772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 20772960 is about 4557.7362802163. The cubic root of 20772960 is about 274.8945491009.

The spelling of 20772960 in words is "twenty million, seven hundred seventy-two thousand, nine hundred sixty".