66301440 has 160 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 17301504.

The previous prime is 66301439. The next prime is 66301441. The reversal of 66301440 is 4410366.

66301440 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 (66301439) and next prime (66301441).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66301440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66301441) 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 15 ways as a sum of consecutive naturals, for example, 683472 + ... + 683568.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429).

Almost surely, 2^66301440 is an apocalyptic number.

66301440 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 66301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

66301440 is an abundant number, since it is smaller than the sum of its proper divisors (150247200).

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

66301440 is an equidigital number, since it uses as much as digits as its factorization.

66301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66301440 is about 8142.5696189839. The cubic root of 66301440 is about 404.7383159406.

The spelling of 66301440 in words is "sixty-six million, three hundred one thousand, four hundred forty".