816361560 has 144 divisors (see below), whose sum is σ = 3086413200. Its totient is φ = 186592896.

The previous prime is 816361531. The next prime is 816361561. The reversal of 816361560 is 65163618.

It is a happy number.

816361560 is a `hidden beast` number, since 8 + 1 + 636 + 15 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816361561) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5500 + ... + 40779.

It is an arithmetic number, because the mean of its divisors is an integer number (21433425).

Almost surely, 2^816361560 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 816361560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543206600).

816361560 is an abundant number, since it is smaller than the sum of its proper divisors (2270051640).

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

816361560 is a wasteful number, since it uses less digits than its factorization.

816361560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46310 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 816361560 is about 28572.0415791382. The cubic root of 816361560 is about 934.6037422176.

The spelling of 816361560 in words is "eight hundred sixteen million, three hundred sixty-one thousand, five hundred sixty".