20612160 has 168 divisors, whose sum is σ = 75245976. Its totient is φ = 5160960.

The previous prime is 20612149. The next prime is 20612167. The reversal of 20612160 is 6121602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 20358144 = 504^2 + 4512^2 .

It is a super-2 number, since 2×20612160² = 849722279731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20612167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48750 + ... + 49170.

Almost surely, 2^20612160 is an apocalyptic number.

20612160 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 20612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622988).

20612160 is an abundant number, since it is smaller than the sum of its proper divisors (54633816).

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

20612160 is a wasteful number, since it uses less digits than its factorization.

20612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20612160 is about 4540.0616735899. The cubic root of 20612160 is about 274.1834067849.

Adding to 20612160 its reverse (6121602), we get a palindrome (26733762).

The spelling of 20612160 in words is "twenty million, six hundred twelve thousand, one hundred sixty".