20441616 has 160 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5652480.

The previous prime is 20441611. The next prime is 20441627. The reversal of 20441616 is 61614402.

20441616 = 686² + 687² + ... + 726².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20441611) 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, 434905 + ... + 434951.

Almost surely, 2^20441616 is an apocalyptic number.

20441616 is a gapful number since it is divisible by the number (26) 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 20441616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20441616 is an abundant number, since it is smaller than the sum of its proper divisors (42554352).

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

20441616 is a wasteful number, since it uses less digits than its factorization.

20441616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20441616 is about 4521.2405377286. The cubic root of 20441616 is about 273.4251182268.

It can be divided in two parts, 204 and 41616, that multiplied together give a cube (8489664 = 204³).

The spelling of 20441616 in words is "twenty million, four hundred forty-one thousand, six hundred sixteen".