20736288 has 72 divisors (see below), whose sum is σ = 59705100. Its totient is φ = 6825984.

The previous prime is 20736263. The next prime is 20736319. The reversal of 20736288 is 88263702.

It is a happy number.

20736288 is a `hidden beast` number, since 20 + 7 + 3 + 628 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 51984 = 4548^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25228 + ... + 26036.

Almost surely, 2^20736288 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 20736288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29852550).

20736288 is an abundant number, since it is smaller than the sum of its proper divisors (38968812).

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

20736288 is a wasteful number, since it uses less digits than its factorization.

20736288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20736288 is about 4553.7114533093. The cubic root of 20736288 is about 274.7326901116.

The spelling of 20736288 in words is "twenty million, seven hundred thirty-six thousand, two hundred eighty-eight".