20788416 has 168 divisors, whose sum is σ = 69183504. Its totient is φ = 5898240.

The previous prime is 20788403. The next prime is 20788457. The reversal of 20788416 is 61488702.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107616 + ... + 107808.

Almost surely, 2^20788416 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 20788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34591752).

20788416 is an abundant number, since it is smaller than the sum of its proper divisors (48395088).

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

20788416 is a wasteful number, since it uses less digits than its factorization.

20788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20788416 is about 4559.4315435150. The cubic root of 20788416 is about 274.9627100952.

The spelling of 20788416 in words is "twenty million, seven hundred eighty-eight thousand, four hundred sixteen".