816873560 has 64 divisors (see below), whose sum is σ = 1902700800. Its totient is φ = 315302400.

The previous prime is 816873553. The next prime is 816873571. The reversal of 816873560 is 65378618.

It is a Cunningham number, because it is equal to 28581²-1.

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, 570926 + ... + 572354.

It is an arithmetic number, because the mean of its divisors is an integer number (29729700).

Almost surely, 2^816873560 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 816873560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951350400).

816873560 is an abundant number, since it is smaller than the sum of its proper divisors (1085827240).

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

816873560 is a wasteful number, since it uses less digits than its factorization.

816873560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 816873560 is about 28580.9999825059. Note that the first 4 decimals coincide. The cubic root of 816873560 is about 934.7990874897.

The spelling of 816873560 in words is "eight hundred sixteen million, eight hundred seventy-three thousand, five hundred sixty".