20977792 has 64 divisors (see below), whose sum is σ = 46707840. Its totient is φ = 9303040.

The previous prime is 20977783. The next prime is 20977799. The reversal of 20977792 is 29777902.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20977799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66018 + ... + 66334.

It is an arithmetic number, because the mean of its divisors is an integer number (729810).

Almost surely, 2^20977792 is an apocalyptic number.

20977792 is a gapful number since it is divisible by the number (22) 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 20977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353920).

20977792 is an abundant number, since it is smaller than the sum of its proper divisors (25730048).

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

20977792 is a wasteful number, since it uses less digits than its factorization.

20977792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The square root of 20977792 is about 4580.1519625445. The cubic root of 20977792 is about 275.7951290682.

It can be divided in two parts, 2097 and 7792, that added together give a palindrome (9889).

The spelling of 20977792 in words is "twenty million, nine hundred seventy-seven thousand, seven hundred ninety-two".