818723040 has 96 divisors (see below), whose sum is σ = 2584866816. Its totient is φ = 217827840.

The previous prime is 818723027. The next prime is 818723047. The reversal of 818723040 is 40327818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 818722992 and 818723010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818723047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239745 + ... + 243135.

It is an arithmetic number, because the mean of its divisors is an integer number (26925696).

Almost surely, 2^818723040 is an apocalyptic number.

818723040 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 818723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292433408).

818723040 is an abundant number, since it is smaller than the sum of its proper divisors (1766143776).

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

818723040 is a wasteful number, since it uses less digits than its factorization.

818723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 818723040 is about 28613.3367505434. The cubic root of 818723040 is about 935.5040472889.

The spelling of 818723040 in words is "eight hundred eighteen million, seven hundred twenty-three thousand, forty".