20168960 has 72 divisors (see below), whose sum is σ = 55237056. Its totient is φ = 6912000.

The previous prime is 20168957. The next prime is 20168963. The reversal of 20168960 is 6986102.

It is an interprime number because it is at equal distance from previous prime (20168957) and next prime (20168963).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20168963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7835 + ... + 10085.

Almost surely, 2^20168960 is an apocalyptic number.

20168960 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 20168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27618528).

20168960 is an abundant number, since it is smaller than the sum of its proper divisors (35068096).

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

20168960 is an equidigital number, since it uses as much as digits as its factorization.

20168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 20168960 is about 4490.9865285926. The cubic root of 20168960 is about 272.2039992121.

The spelling of 20168960 in words is "twenty million, one hundred sixty-eight thousand, nine hundred sixty".