20964960 has 192 divisors, whose sum is σ = 76930560. Its totient is φ = 5322240.

The previous prime is 20964947. The next prime is 20964967. The reversal of 20964960 is 6946902.

20964960 is a `hidden beast` number, since 2 + 0 + 9 + 649 + 6 + 0 = 666.

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 (20964967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99255 + ... + 99465.

It is an arithmetic number, because the mean of its divisors is an integer number (400680).

Almost surely, 2^20964960 is an apocalyptic number.

20964960 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 20964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465280).

20964960 is an abundant number, since it is smaller than the sum of its proper divisors (55965600).

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

20964960 is a wasteful number, since it uses less digits than its factorization.

20964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20964960 is about 4578.7509213758. The cubic root of 20964960 is about 275.7388834770.

It can be divided in two parts, 2096 and 4960, that added together give a square (7056 = 84²).

The spelling of 20964960 in words is "twenty million, nine hundred sixty-four thousand, nine hundred sixty".