818242560 has 220 divisors, whose sum is σ = 2933604828. Its totient is φ = 218087424.

The previous prime is 818242541. The next prime is 818242561. The reversal of 818242560 is 65242818.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 585252864 = 15264^2 + 24192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (818242561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413734 + ... + 415706.

Almost surely, 2^818242560 is an apocalyptic number.

818242560 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 818242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466802414).

818242560 is an abundant number, since it is smaller than the sum of its proper divisors (2115362268).

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

818242560 is a wasteful number, since it uses less digits than its factorization.

818242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 818242560 is about 28604.9394336013. The cubic root of 818242560 is about 935.3210065773.

It can be divided in two parts, 81 and 8242560, that added together give a square (8242641 = 2871²).

The spelling of 818242560 in words is "eight hundred eighteen million, two hundred forty-two thousand, five hundred sixty".