66605336 has 64 divisors (see below), whose sum is σ = 152928000. Its totient is φ = 26559360.

The previous prime is 66605333. The next prime is 66605339. The reversal of 66605336 is 63350666.

66605336 = 193² + 194² + ... + 591².

It is an interprime number because it is at equal distance from previous prime (66605333) and next prime (66605339).

It is a junction number, because it is equal to n+sod(n) for n = 66605296 and 66605305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66605333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62246 + ... + 63306.

It is an arithmetic number, because the mean of its divisors is an integer number (2389500).

Almost surely, 2^66605336 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 66605336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76464000).

66605336 is an abundant number, since it is smaller than the sum of its proper divisors (86322664).

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

66605336 is a wasteful number, since it uses less digits than its factorization.

66605336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 35.

The square root of 66605336 is about 8161.2092241285. The cubic root of 66605336 is about 405.3557530545.

The spelling of 66605336 in words is "sixty-six million, six hundred five thousand, three hundred thirty-six".