66919266 has 48 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 21077280.

The previous prime is 66919261. The next prime is 66919271. The reversal of 66919266 is 66291966.

It is an interprime number because it is at equal distance from previous prime (66919261) and next prime (66919271).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (66919261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22600 + ... + 25388.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2^66919266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66919266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

66919266 is an abundant number, since it is smaller than the sum of its proper divisors (86285214).

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

66919266 is a wasteful number, since it uses less digits than its factorization.

66919266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2868 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 66919266 is about 8180.4196713861. The cubic root of 66919266 is about 405.9916076468.

The spelling of 66919266 in words is "sixty-six million, nine hundred nineteen thousand, two hundred sixty-six".