666131400 has 288 divisors, whose sum is σ = 2585325600. Its totient is φ = 151910400.

The previous prime is 666131381. The next prime is 666131413. The reversal of 666131400 is 4131666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335611 + ... + 337589.

It is an arithmetic number, because the mean of its divisors is an integer number (8976825).

Almost surely, 2^666131400 is an apocalyptic number.

666131400 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 666131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292662800).

666131400 is an abundant number, since it is smaller than the sum of its proper divisors (1919194200).

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

666131400 is a wasteful number, since it uses less digits than its factorization.

666131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 666131400 is about 25809.5214988577. The cubic root of 666131400 is about 873.3466028842.

The spelling of 666131400 in words is "six hundred sixty-six million, one hundred thirty-one thousand, four hundred".