16117776 has 120 divisors (see below), whose sum is σ = 48940320. Its totient is φ = 4935168.

The previous prime is 16117769. The next prime is 16117813. The reversal of 16117776 is 67771161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16117776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117580 + ... + 117716.

It is an arithmetic number, because the mean of its divisors is an integer number (407836).

Almost surely, 2^16117776 is an apocalyptic number.

16117776 is a gapful number since it is divisible by the number (16) 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 16117776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470160).

16117776 is an abundant number, since it is smaller than the sum of its proper divisors (32822544).

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

16117776 is a wasteful number, since it uses less digits than its factorization.

16117776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 16117776 is about 4014.6950070958. The cubic root of 16117776 is about 252.6009843433.

The spelling of 16117776 in words is "sixteen million, one hundred seventeen thousand, seven hundred seventy-six".