20117916 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 5018112.

The previous prime is 20117891. The next prime is 20117917. The reversal of 20117916 is 61971102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20117916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117917) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226000 + ... + 226088.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 2^20117916 is an apocalyptic number.

20117916 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 20117916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

20117916 is an abundant number, since it is smaller than the sum of its proper divisors (47619684).

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

20117916 is a wasteful number, since it uses less digits than its factorization.

20117916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 20117916 is about 4485.2999899672. The cubic root of 20117916 is about 271.9741721439.

The spelling of 20117916 in words is "twenty million, one hundred seventeen thousand, nine hundred sixteen".