20727120 has 80 divisors (see below), whose sum is σ = 65263680. Its totient is φ = 5440512.

The previous prime is 20727103. The next prime is 20727137. The reversal of 20727120 is 2172702.

It is an interprime number because it is at equal distance from previous prime (20727103) and next prime (20727137).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20727120² = 859227006988800, which contains 22 as substring.

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, 15436 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (815796).

Almost surely, 2^20727120 is an apocalyptic number.

20727120 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 20727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32631840).

20727120 is an abundant number, since it is smaller than the sum of its proper divisors (44536560).

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

20727120 is a wasteful number, since it uses less digits than its factorization.

20727120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 20727120 is about 4552.7046906207. The cubic root of 20727120 is about 274.6921955513.

Adding to 20727120 its sum of digits (21), we get a triangular number (20727141 = T₆₄₃₈).

Adding to 20727120 its reverse (2172702), we get a palindrome (22899822).

The spelling of 20727120 in words is "twenty million, seven hundred twenty-seven thousand, one hundred twenty".