666252000 has 384 divisors, whose sum is σ = 2515968000. Its totient is φ = 171072000.

The previous prime is 666251959. The next prime is 666252023. The reversal of 666252000 is 252666.

666252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347901 + ... + 3348099.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^666252000 is an apocalyptic number.

666252000 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 666252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

666252000 is an abundant number, since it is smaller than the sum of its proper divisors (1849716000).

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

666252000 is a wasteful number, since it uses less digits than its factorization.

666252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 666252000 is about 25811.8577401937. The cubic root of 666252000 is about 873.3993048209.

The spelling of 666252000 in words is "six hundred sixty-six million, two hundred fifty-two thousand".