20772180 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 4631040.

The previous prime is 20772173. The next prime is 20772203. The reversal of 20772180 is 8127702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77086 + ... + 77354.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^20772180 is an apocalyptic number.

20772180 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 20772180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

20772180 is an abundant number, since it is smaller than the sum of its proper divisors (55432620).

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

20772180 is a wasteful number, since it uses less digits than its factorization.

20772180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 20772180 is about 4557.6507106184. The cubic root of 20772180 is about 274.8911084031.

Adding to 20772180 its reverse (8127702), we get a palindrome (28899882).

The spelling of 20772180 in words is "twenty million, seven hundred seventy-two thousand, one hundred eighty".