666104040 has 384 divisors, whose sum is σ = 2654467200. Its totient is φ = 148055040.

The previous prime is 666104029. The next prime is 666104093. The reversal of 666104040 is 40401666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 666103995 and 666104013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169567 + ... + 2169873.

It is an arithmetic number, because the mean of its divisors is an integer number (6912675).

Almost surely, 2^666104040 is an apocalyptic number.

666104040 is a gapful number since it is divisible by the number (60) 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 666104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327233600).

666104040 is an abundant number, since it is smaller than the sum of its proper divisors (1988363160).

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

666104040 is a wasteful number, since it uses less digits than its factorization.

666104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 666104040 is about 25808.9914564673. The cubic root of 666104040 is about 873.3346457387.

The spelling of 666104040 in words is "six hundred sixty-six million, one hundred four thousand, forty".