20967520 has 96 divisors (see below), whose sum is σ = 57492288. Its totient is φ = 7077888.

The previous prime is 20967509. The next prime is 20967521. The reversal of 20967520 is 2576902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20967521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108544 + ... + 108736.

It is an arithmetic number, because the mean of its divisors is an integer number (598878).

Almost surely, 2^20967520 is an apocalyptic number.

20967520 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 20967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746144).

20967520 is an abundant number, since it is smaller than the sum of its proper divisors (36524768).

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

20967520 is a wasteful number, since it uses less digits than its factorization.

20967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 20967520 is about 4579.0304650657. The cubic root of 20967520 is about 275.7501063749.

The spelling of 20967520 in words is "twenty million, nine hundred sixty-seven thousand, five hundred twenty".