818346240 has 252 divisors, whose sum is σ = 2942299164. Its totient is φ = 217976832.

The previous prime is 818346239. The next prime is 818346247. The reversal of 818346240 is 42643818.

818346240 is a `hidden beast` number, since 81 + 83 + 462 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 504631296 + 313714944 = 22464^2 + 17712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 818346195 and 818346204.

It is not an unprimeable number, because it can be changed into a prime (818346247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932682 + ... + 933558.

Almost surely, 2^818346240 is an apocalyptic number.

818346240 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 818346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471149582).

818346240 is an abundant number, since it is smaller than the sum of its proper divisors (2123952924).

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

818346240 is an frugal number, since it uses more digits than its factorization.

818346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 818346240 is about 28606.7516506156. The cubic root of 818346240 is about 935.3605099353.

It can be divided in two parts, 81 and 8346240, that added together give a square (8346321 = 2889²).

The spelling of 818346240 in words is "eight hundred eighteen million, three hundred forty-six thousand, two hundred forty".