20616960 has 288 divisors, whose sum is σ = 82414080. Its totient is φ = 4276224.

The previous prime is 20616931. The next prime is 20616961. The reversal of 20616960 is 6961602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20616961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349411 + ... + 349469.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^20616960 is an apocalyptic number.

20616960 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 20616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

20616960 is an abundant number, since it is smaller than the sum of its proper divisors (61797120).

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

20616960 is a wasteful number, since it uses less digits than its factorization.

20616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20616960 is about 4540.5902699979. The cubic root of 20616960 is about 274.2046883683.

The spelling of 20616960 in words is "twenty million, six hundred sixteen thousand, nine hundred sixty".