660441600 has 900 divisors, whose sum is σ = 3062143854. Its totient is φ = 139345920.

The previous prime is 660441599. The next prime is 660441611. The reversal of 660441600 is 6144066.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 293642496 = 19152^2 + 17136^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50803194 + ... + 50803206.

Almost surely, 2^660441600 is an apocalyptic number.

660441600 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 660441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531071927).

660441600 is an abundant number, since it is smaller than the sum of its proper divisors (2401702254).

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

660441600 is a wasteful number, since it uses less digits than its factorization.

660441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

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

The square root of 660441600 is about 25699.0583485076. The cubic root of 660441600 is about 870.8529091138.

Adding to 660441600 its reverse (6144066), we get a palindrome (666585666).

The spelling of 660441600 in words is "six hundred sixty million, four hundred forty-one thousand, six hundred".