666348800 has 108 divisors (see below), whose sum is σ = 1776409740. Its totient is φ = 246005760.

The previous prime is 666348797. The next prime is 666348803. The reversal of 666348800 is 8843666.

666348800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (666348797) and next prime (666348803).

It can be written as a sum of positive squares in 6 ways, for example, as 44943616 + 621405184 = 6704^2 + 24928^2 .

It is a super-2 number, since 2×666348800² = 888041446522880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666348803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79196 + ... + 87204.

Almost surely, 2^666348800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888204870).

666348800 is an abundant number, since it is smaller than the sum of its proper divisors (1110060940).

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

666348800 is a wasteful number, since it uses less digits than its factorization.

666348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 666348800 is about 25813.7327792786. The cubic root of 666348800 is about 873.4416016088.

The spelling of 666348800 in words is "six hundred sixty-six million, three hundred forty-eight thousand, eight hundred".