20627160 has 128 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 5101056.

The previous prime is 20627153. The next prime is 20627197. The reversal of 20627160 is 6172602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20627160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189186 + ... + 189294.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 2^20627160 is an apocalyptic number.

20627160 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 20627160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

20627160 is an abundant number, since it is smaller than the sum of its proper divisors (45900840).

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

20627160 is a wasteful number, since it uses less digits than its factorization.

20627160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20627160 is about 4541.7133330936. The cubic root of 20627160 is about 274.2499007680.

Adding to 20627160 its reverse (6172602), we get a palindrome (26799762).

The spelling of 20627160 in words is "twenty million, six hundred twenty-seven thousand, one hundred sixty".