20584960 has 160 divisors (see below), whose sum is σ = 58335552. Its totient is φ = 6881280.

The previous prime is 20584957. The next prime is 20584973. The reversal of 20584960 is 6948502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 478699 + ... + 478741.

Almost surely, 2^20584960 is an apocalyptic number.

20584960 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 20584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167776).

20584960 is an abundant number, since it is smaller than the sum of its proper divisors (37750592).

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

20584960 is a wasteful number, since it uses less digits than its factorization.

20584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 20584960 is about 4537.0651306764. The cubic root of 20584960 is about 274.0627486956.

The spelling of 20584960 in words is "twenty million, five hundred eighty-four thousand, nine hundred sixty".