20772576 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 6140160.

The previous prime is 20772559. The next prime is 20772581. The reversal of 20772576 is 67527702.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20772576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250231 + ... + 250313.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^20772576 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 20772576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20772576 is an abundant number, since it is smaller than the sum of its proper divisors (45271584).

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

20772576 is a wasteful number, since it uses less digits than its factorization.

20772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 20772576 is about 4557.6941538458. The cubic root of 20772576 is about 274.8928552297.

The spelling of 20772576 in words is "twenty million, seven hundred seventy-two thousand, five hundred seventy-six".