20117760 has 216 divisors, whose sum is σ = 71817984. Its totient is φ = 4792320.

The previous prime is 20117759. The next prime is 20117777. The reversal of 20117760 is 6771102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20117760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648945 + ... + 648975.

Almost surely, 2^20117760 is an apocalyptic number.

20117760 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 20117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908992).

20117760 is an abundant number, since it is smaller than the sum of its proper divisors (51700224).

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

20117760 is a wasteful number, since it uses less digits than its factorization.

20117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 20117760 is about 4485.2825997923. The cubic root of 20117760 is about 271.9734691539.

Adding to 20117760 its reverse (6771102), we get a palindrome (26888862).

The spelling of 20117760 in words is "twenty million, one hundred seventeen thousand, seven hundred sixty".