816510240 has 768 divisors, whose sum is σ = 3684925440. Its totient is φ = 164229120.

The previous prime is 816510217. The next prime is 816510251. The reversal of 816510240 is 42015618.

816510240 is a `hidden beast` number, since 8 + 1 + 651 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 12186687 + ... + 12186753.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^816510240 is an apocalyptic number.

816510240 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 816510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842462720).

816510240 is an abundant number, since it is smaller than the sum of its proper divisors (2868415200).

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

816510240 is a wasteful number, since it uses less digits than its factorization.

816510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 816510240 is about 28574.6433048603. The cubic root of 816510240 is about 934.6604770665.

Adding to 816510240 its reverse (42015618), we get a palindrome (858525858).

The spelling of 816510240 in words is "eight hundred sixteen million, five hundred ten thousand, two hundred forty".