816240 has 80 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 205056.

The previous prime is 816239. The next prime is 816251. The reversal of 816240 is 42618.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4471 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁸¹⁶²⁴⁰ is an apocalyptic number.

816240 is a gapful number since it is divisible by the number (80) 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 816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

816240 is an abundant number, since it is smaller than the sum of its proper divisors (1862160).

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

816240 is a wasteful number, since it uses less digits than its factorization.

816240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 816240 is about 903.4600157174. The cubic root of 816240 is about 93.4557350980.

Adding to 816240 its reverse (42618), we get a palindrome (858858).

The spelling of 816240 in words is "eight hundred sixteen thousand, two hundred forty".