666633240 has 960 divisors, whose sum is σ = 3128479200. Its totient is φ = 125411328.

The previous prime is 666633211. The next prime is 666633241. The reversal of 666633240 is 42336666.

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 = 666633195 and 666633204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666633241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35085951 + ... + 35085969.

Almost surely, 2^666633240 is an apocalyptic number.

666633240 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 666633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564239600).

666633240 is an abundant number, since it is smaller than the sum of its proper divisors (2461845960).

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

666633240 is a wasteful number, since it uses less digits than its factorization.

666633240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 666633240 is about 25819.2416619853. The cubic root of 666633240 is about 873.5658640508.

The spelling of 666633240 in words is "six hundred sixty-six million, six hundred thirty-three thousand, two hundred forty".