816006840 has 128 divisors (see below), whose sum is σ = 2678054400. Its totient is φ = 197265920.

The previous prime is 816006839. The next prime is 816006847. The reversal of 816006840 is 48600618.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816006847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 663346 + ... + 664574.

It is an arithmetic number, because the mean of its divisors is an integer number (20922300).

Almost surely, 2^816006840 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 816006840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339027200).

816006840 is an abundant number, since it is smaller than the sum of its proper divisors (1862047560).

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

816006840 is a wasteful number, since it uses less digits than its factorization.

816006840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 816006840 is about 28565.8334378677. The cubic root of 816006840 is about 934.4683566710.

The spelling of 816006840 in words is "eight hundred sixteen million, six thousand, eight hundred forty".