66427140 has 72 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 16348800.

The previous prime is 66427111. The next prime is 66427147. The reversal of 66427140 is 4172466.

66427140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 66427098 and 66427107.

It is not an unprimeable number, because it can be changed into a prime (66427147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6865 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^66427140 is an apocalyptic number.

66427140 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 66427140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

66427140 is an abundant number, since it is smaller than the sum of its proper divisors (135007548).

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

66427140 is a wasteful number, since it uses less digits than its factorization.

66427140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 66427140 is about 8150.2846576055. The cubic root of 66427140 is about 404.9939337607.

The spelling of 66427140 in words is "sixty-six million, four hundred twenty-seven thousand, one hundred forty".