66885312 has 112 divisors (see below), whose sum is σ = 192991232. Its totient is φ = 20321280.

The previous prime is 66885211. The next prime is 66885349. The reversal of 66885312 is 21358866.

It is a happy number.

It is a super-2 number, since 2×66885312² = 8947289922674688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316887 + ... + 317097.

It is an arithmetic number, because the mean of its divisors is an integer number (1723136).

Almost surely, 2^66885312 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 66885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96495616).

66885312 is an abundant number, since it is smaller than the sum of its proper divisors (126105920).

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

66885312 is a wasteful number, since it uses less digits than its factorization.

66885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 66885312 is about 8178.3440866718. The cubic root of 66885312 is about 405.9229310061.

The spelling of 66885312 in words is "sixty-six million, eight hundred eighty-five thousand, three hundred twelve".