916812 has 48 divisors (see below), whose sum is σ = 2563680. Its totient is φ = 281664.

The previous prime is 916787. The next prime is 916831. The reversal of 916812 is 218619.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (53410).

2⁹¹⁶⁸¹² 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 916812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281840).

916812 is an abundant number, since it is smaller than the sum of its proper divisors (1646868).

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

916812 is a wasteful number, since it uses less digits than its factorization.

916812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 916812 is about 957.5030026063. The cubic root of 916812 is about 97.1464115523.

It can be divided in two parts, 9168 and 12, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 916812 in words is "nine hundred sixteen thousand, eight hundred twelve".