818627040 has 768 divisors, whose sum is σ = 3762339840. Its totient is φ = 161187840.

The previous prime is 818627023. The next prime is 818627041. The reversal of 818627040 is 40726818.

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 = 818626986 and 818627004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818627041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7650667 + ... + 7650773.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^818627040 is an apocalyptic number.

818627040 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 818627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881169920).

818627040 is an abundant number, since it is smaller than the sum of its proper divisors (2943712800).

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

818627040 is a wasteful number, since it uses less digits than its factorization.

818627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 818627040 is about 28611.6591619570. The cubic root of 818627040 is about 935.4674814440.

The spelling of 818627040 in words is "eight hundred eighteen million, six hundred twenty-seven thousand, forty".