20964480 has 128 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 5468160.

The previous prime is 20964473. The next prime is 20964481. The reversal of 20964480 is 8446902.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20964481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117031 + ... + 117209.

Almost surely, 2^20964480 is an apocalyptic number.

20964480 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 20964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

20964480 is an abundant number, since it is smaller than the sum of its proper divisors (47334720).

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

20964480 is a wasteful number, since it uses less digits than its factorization.

20964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20964480 is about 4578.6985050339. The cubic root of 20964480 is about 275.7367790820.

The spelling of 20964480 in words is "twenty million, nine hundred sixty-four thousand, four hundred eighty".