66583860 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 14955648.

The previous prime is 66583841. The next prime is 66583861. The reversal of 66583860 is 6838566.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66583861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23437 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^66583860 is an apocalyptic number.

66583860 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 66583860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

66583860 is an abundant number, since it is smaller than the sum of its proper divisors (150176460).

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

66583860 is a wasteful number, since it uses less digits than its factorization.

66583860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 66583860 is about 8159.8933816564. The cubic root of 66583860 is about 405.3121811903.

The spelling of 66583860 in words is "sixty-six million, five hundred eighty-three thousand, eight hundred sixty".