816852960 has 576 divisors, whose sum is σ = 3566384640. Its totient is φ = 165335040.

The previous prime is 816852923. The next prime is 816852977. The reversal of 816852960 is 69258618.

816852960 is a `hidden beast` number, since 8 + 1 + 68 + 529 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5876571 + ... + 5876709.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^816852960 is an apocalyptic number.

816852960 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 816852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

816852960 is an abundant number, since it is smaller than the sum of its proper divisors (2749531680).

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

816852960 is a wasteful number, since it uses less digits than its factorization.

816852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

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

The square root of 816852960 is about 28580.6396009606. The cubic root of 816852960 is about 934.7912294710.

It can be divided in two parts, 816 and 852960, that added together give a square (853776 = 924²).

The spelling of 816852960 in words is "eight hundred sixteen million, eight hundred fifty-two thousand, nine hundred sixty".