20952960 has 128 divisors (see below), whose sum is σ = 76377600. Its totient is φ = 4786176.

The previous prime is 20952941. The next prime is 20952979. The reversal of 20952960 is 6925902.

It is an interprime number because it is at equal distance from previous prime (20952941) and next prime (20952979).

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

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, 12661 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^20952960 is an apocalyptic number.

20952960 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 20952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

20952960 is an abundant number, since it is smaller than the sum of its proper divisors (55424640).

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

20952960 is a wasteful number, since it uses less digits than its factorization.

20952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 20952960 is about 4577.4403327624. The cubic root of 20952960 is about 275.6862639615.

It can be divided in two parts, 20952 and 960, that added together give a palindrome (21912).

The spelling of 20952960 in words is "twenty million, nine hundred fifty-two thousand, nine hundred sixty".