816514560 has 160 divisors (see below), whose sum is σ = 2900573280. Its totient is φ = 217718784.

The previous prime is 816514519. The next prime is 816514561. The reversal of 816514560 is 65415618.

816514560 is a `hidden beast` number, since 81 + 6 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 (816514561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63214 + ... + 75026.

It is an arithmetic number, because the mean of its divisors is an integer number (18128583).

Almost surely, 2^816514560 is an apocalyptic number.

816514560 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 816514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450286640).

816514560 is an abundant number, since it is smaller than the sum of its proper divisors (2084058720).

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

816514560 is a wasteful number, since it uses less digits than its factorization.

816514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 816514560 is about 28574.7188962551. The cubic root of 816514560 is about 934.6621254337.

The spelling of 816514560 in words is "eight hundred sixteen million, five hundred fourteen thousand, five hundred sixty".