20769200 has 60 divisors (see below), whose sum is σ = 50394840. Its totient is φ = 8225280.

The previous prime is 20769181. The next prime is 20769209. The reversal of 20769200 is 296702.

It is a self number, because there is not a number n which added to its sum of digits gives 20769200.

It is not an unprimeable number, because it can be changed into a prime (20769209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54611 + ... + 54989.

It is an arithmetic number, because the mean of its divisors is an integer number (839914).

Almost surely, 2^20769200 is an apocalyptic number.

20769200 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 20769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25197420).

20769200 is an abundant number, since it is smaller than the sum of its proper divisors (29625640).

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

20769200 is a wasteful number, since it uses less digits than its factorization.

20769200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 20769200 is about 4557.3237760774. The cubic root of 20769200 is about 274.8779623799.

The spelling of 20769200 in words is "twenty million, seven hundred sixty-nine thousand, two hundred".