816298560 has 560 divisors, whose sum is σ = 3629070720. Its totient is φ = 169205760.

The previous prime is 816298559. The next prime is 816298591. The reversal of 816298560 is 65892618.

816298560 is a `hidden beast` number, since 81 + 6 + 2 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1995636 + ... + 1996044.

Almost surely, 2^816298560 is an apocalyptic number.

816298560 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 816298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814535360).

816298560 is an abundant number, since it is smaller than the sum of its proper divisors (2812772160).

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

816298560 is a wasteful number, since it uses less digits than its factorization.

816298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 816298560 is about 28570.9390815213. The cubic root of 816298560 is about 934.5796999495.

The spelling of 816298560 in words is "eight hundred sixteen million, two hundred ninety-eight thousand, five hundred sixty".