919116 has 54 divisors (see below), whose sum is σ = 2565836. Its totient is φ = 277200.

The previous prime is 919111. The next prime is 919129. The reversal of 919116 is 611919.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (486) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 919116.

It is not an unprimeable number, because it can be changed into a prime (919111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4251 + ... + 4461.

2⁹¹⁹¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282918).

919116 is an abundant number, since it is smaller than the sum of its proper divisors (1646720).

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

919116 is a wasteful number, since it uses less digits than its factorization.

919116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 919116 is about 958.7053770580. The cubic root of 919116 is about 97.2277216058.

It can be divided in two parts, 919 and 116, that added together give a triangular number (1035 = T₄₅).

The spelling of 919116 in words is "nine hundred nineteen thousand, one hundred sixteen".