20867616 has 144 divisors (see below), whose sum is σ = 74063808. Its totient is φ = 5414400.

The previous prime is 20867603. The next prime is 20867663. The reversal of 20867616 is 61676802.

20867616 = T₁₅₃ + T₁₅₄ + ... + T₅₀₄.

It is a happy number.

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 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, 21706 + ... + 22646.

It is an arithmetic number, because the mean of its divisors is an integer number (514332).

Almost surely, 2^20867616 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 20867616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37031904).

20867616 is an abundant number, since it is smaller than the sum of its proper divisors (53196192).

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

20867616 is a wasteful number, since it uses less digits than its factorization.

20867616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20867616 is about 4568.1085801456. The cubic root of 20867616 is about 275.3114531889.

The spelling of 20867616 in words is "twenty million, eight hundred sixty-seven thousand, six hundred sixteen".