66842496 has 192 divisors, whose sum is σ = 228708480. Its totient is φ = 19035648.

The previous prime is 66842491. The next prime is 66842527. The reversal of 66842496 is 69424866.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66842491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217575 + ... + 217881.

It is an arithmetic number, because the mean of its divisors is an integer number (1191190).

Almost surely, 2^66842496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114354240).

66842496 is an abundant number, since it is smaller than the sum of its proper divisors (161865984).

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

66842496 is an equidigital number, since it uses as much as digits as its factorization.

66842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66842496 is about 8175.7260228068. The cubic root of 66842496 is about 405.8362966088.

It can be divided in two parts, 6684 and 2496, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 66842496 in words is "sixty-six million, eight hundred forty-two thousand, four hundred ninety-six".