20977200 has 90 divisors (see below), whose sum is σ = 72809204. Its totient is φ = 5592960.

The previous prime is 20977193. The next prime is 20977217. The reversal of 20977200 is 277902.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 687 + ... + 6513.

Almost surely, 2^20977200 is an apocalyptic number.

20977200 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 20977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36404602).

20977200 is an abundant number, since it is smaller than the sum of its proper divisors (51832004).

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

20977200 is a wasteful number, since it uses less digits than its factorization.

20977200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 20977200 is about 4580.0873354118. The cubic root of 20977200 is about 275.7925347016.

The spelling of 20977200 in words is "twenty million, nine hundred seventy-seven thousand, two hundred".