20772160 has 56 divisors (see below), whose sum is σ = 49926240. Its totient is φ = 8231424.

The previous prime is 20772137. The next prime is 20772173. The reversal of 20772160 is 6127702.

20772160 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44247 + ... + 44713.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^20772160 is an apocalyptic number.

20772160 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 20772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

20772160 is an abundant number, since it is smaller than the sum of its proper divisors (29154080).

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

20772160 is a wasteful number, since it uses less digits than its factorization.

20772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 20772160 is about 4557.6485165050. The cubic root of 20772160 is about 274.8910201789.

Adding to 20772160 its reverse (6127702), we get a palindrome (26899862).

The spelling of 20772160 in words is "twenty million, seven hundred seventy-two thousand, one hundred sixty".