66753120 has 96 divisors (see below), whose sum is σ = 240323328. Its totient is φ = 15257088.

The previous prime is 66753119. The next prime is 66753121. The reversal of 66753120 is 2135766.

66753120 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 (66753119) and next prime (66753121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66753121) 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, 6574 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (2503368).

Almost surely, 2^66753120 is an apocalyptic number.

66753120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66753120 is an abundant number, since it is smaller than the sum of its proper divisors (173570208).

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

66753120 is a wasteful number, since it uses less digits than its factorization.

66753120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19892 (or 19884 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 66753120 is about 8170.2582578521. The cubic root of 66753120 is about 405.6553328725.

Adding to 66753120 its reverse (2135766), we get a palindrome (68888886).

The spelling of 66753120 in words is "sixty-six million, seven hundred fifty-three thousand, one hundred twenty".