816984 has 48 divisors (see below), whose sum is σ = 2530320. Its totient is φ = 233280.

The previous prime is 816971. The next prime is 817013. The reversal of 816984 is 489618.

It is a happy number.

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

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

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 816984.

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 11 ways as a sum of consecutive naturals, for example, 307 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (52715).

2⁸¹⁶⁹⁸⁴ is an apocalyptic number.

816984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

816984 is an abundant number, since it is smaller than the sum of its proper divisors (1713336).

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

816984 is a wasteful number, since it uses less digits than its factorization.

816984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 816984 is about 903.8716723075. The cubic root of 816984 is about 93.4841213372.

The spelling of 816984 in words is "eight hundred sixteen thousand, nine hundred eighty-four".