20516160 has 224 divisors, whose sum is σ = 77248512. Its totient is φ = 4515840.

The previous prime is 20516149. The next prime is 20516173. The reversal of 20516160 is 6161502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20516160² = 841825642291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288925 + ... + 288995.

Almost surely, 2^20516160 is an apocalyptic number.

20516160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624256).

20516160 is an abundant number, since it is smaller than the sum of its proper divisors (56732352).

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

20516160 is a wasteful number, since it uses less digits than its factorization.

20516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20516160 is about 4529.4767909771. The cubic root of 20516160 is about 273.7570795275.

Adding to 20516160 its reverse (6161502), we get a palindrome (26677662).

The spelling of 20516160 in words is "twenty million, five hundred sixteen thousand, one hundred sixty".