20772164 has 48 divisors (see below), whose sum is σ = 44432640. Its totient is φ = 8323200.

The previous prime is 20772137. The next prime is 20772173. The reversal of 20772164 is 46127702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137489 + ... + 137639.

It is an arithmetic number, because the mean of its divisors is an integer number (925680).

Almost surely, 2^20772164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20772164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216320).

20772164 is an abundant number, since it is smaller than the sum of its proper divisors (23660476).

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

20772164 is a wasteful number, since it uses less digits than its factorization.

20772164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 20772164 is about 4557.6489553277. The cubic root of 20772164 is about 274.8910378238.

Adding to 20772164 its reverse (46127702), we get a palindrome (66899866).

The spelling of 20772164 in words is "twenty million, seven hundred seventy-two thousand, one hundred sixty-four".