20956160 has 44 divisors (see below), whose sum is σ = 50282508. Its totient is φ = 8380416.

The previous prime is 20956153. The next prime is 20956181. The reversal of 20956160 is 6165902.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 12845056 = 2848^2 + 3584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3074 + ... + 7166.

Almost surely, 2^20956160 is an apocalyptic number.

20956160 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 20956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141254).

20956160 is an abundant number, since it is smaller than the sum of its proper divisors (29326348).

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

20956160 is an equidigital number, since it uses as much as digits as its factorization.

20956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 20956160 is about 4577.7898597467. The cubic root of 20956160 is about 275.7002977963.

The spelling of 20956160 in words is "twenty million, nine hundred fifty-six thousand, one hundred sixty".