918816 has 48 divisors (see below), whose sum is σ = 2558304. Its totient is φ = 287744.

The previous prime is 918793. The next prime is 918823. The reversal of 918816 is 618819.

It is a tau number, because it is divible by the number of its divisors (48).

918816 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (53298).

2⁹¹⁸⁸¹⁶ is an apocalyptic number.

918816 is a gapful number since it is divisible by the number (96) 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 918816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279152).

918816 is an abundant number, since it is smaller than the sum of its proper divisors (1639488).

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

918816 is a wasteful number, since it uses less digits than its factorization.

918816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 918816 is about 958.5489032908. The cubic root of 918816 is about 97.2171420596.

The spelling of 918816 in words is "nine hundred eighteen thousand, eight hundred sixteen".