20738916 has 135 divisors (see below), whose sum is σ = 62296003. Its totient is φ = 6011280.

The previous prime is 20738903. The next prime is 20738917. The reversal of 20738916 is 61983702.

The square root of 20738916 is 4554.

It is a perfect power (a square), and thus also a powerful number.

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

It is not an unprimeable number, because it can be changed into a prime (20738917) 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 44 ways as a sum of consecutive naturals, for example, 901681 + ... + 901703.

Almost surely, 2^20738916 is an apocalyptic number.

20738916 is the 4554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20738916

20738916 is an abundant number, since it is smaller than the sum of its proper divisors (41557087).

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

20738916 is a wasteful number, since it uses less digits than its factorization.

20738916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 20738916 is about 274.7442956444.

Multiplying 20738916 by its sum of digits (36), we get a square (746600976 = 27324²).

20738916 divided by its sum of digits (36) gives a square (576081 = 759²).

The spelling of 20738916 in words is "twenty million, seven hundred thirty-eight thousand, nine hundred sixteen".