20632960 has 64 divisors (see below), whose sum is σ = 49963680. Its totient is φ = 8146944.

The previous prime is 20632933. The next prime is 20632961. The reversal of 20632960 is 6923602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20632961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65764 + ... + 66076.

Almost surely, 2^20632960 is an apocalyptic number.

20632960 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 20632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24981840).

20632960 is an abundant number, since it is smaller than the sum of its proper divisors (29330720).

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

20632960 is a wasteful number, since it uses less digits than its factorization.

20632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 20632960 is about 4542.3518137634. The cubic root of 20632960 is about 274.2756031326.

The spelling of 20632960 in words is "twenty million, six hundred thirty-two thousand, nine hundred sixty".