66848760 has 256 divisors, whose sum is σ = 258163200. Its totient is φ = 15206400.

The previous prime is 66848759. The next prime is 66848767. The reversal of 66848760 is 6784866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66848767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201795 + ... + 202125.

It is an arithmetic number, because the mean of its divisors is an integer number (1008450).

Almost surely, 2^66848760 is an apocalyptic number.

66848760 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 66848760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129081600).

66848760 is an abundant number, since it is smaller than the sum of its proper divisors (191314440).

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

66848760 is a wasteful number, since it uses less digits than its factorization.

66848760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66848760 is about 8176.1090990764. The cubic root of 66848760 is about 405.8489735699.

The spelling of 66848760 in words is "sixty-six million, eight hundred forty-eight thousand, seven hundred sixty".