66693120 has 192 divisors, whose sum is σ = 231154560. Its totient is φ = 16318464.

The previous prime is 66693119. The next prime is 66693139. The reversal of 66693120 is 2139666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×66693120³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399277 + ... + 399443.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^66693120 is an apocalyptic number.

66693120 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 66693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

66693120 is an abundant number, since it is smaller than the sum of its proper divisors (164461440).

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

66693120 is a wasteful number, since it uses less digits than its factorization.

66693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66693120 is about 8166.5855778287. The cubic root of 66693120 is about 405.5337574517.

The spelling of 66693120 in words is "sixty-six million, six hundred ninety-three thousand, one hundred twenty".