20958960 has 160 divisors (see below), whose sum is σ = 75209472. Its totient is φ = 4771840.

The previous prime is 20958953. The next prime is 20958961. The reversal of 20958960 is 6985902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20958961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44647 + ... + 45113.

Almost surely, 2^20958960 is an apocalyptic number.

20958960 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 20958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736).

20958960 is an abundant number, since it is smaller than the sum of its proper divisors (54250512).

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

20958960 is a wasteful number, since it uses less digits than its factorization.

20958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 20958960 is about 4578.0956739675. The cubic root of 20958960 is about 275.7125762299.

The spelling of 20958960 in words is "twenty million, nine hundred fifty-eight thousand, nine hundred sixty".