66966966 has 96 divisors (see below), whose sum is σ = 168601440. Its totient is φ = 19673280.

The previous prime is 66966919. The next prime is 66966967.

66966966 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (66966967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241620 + ... + 241896.

It is an arithmetic number, because the mean of its divisors is an integer number (1756265).

Almost surely, 2^66966966 is an apocalyptic number.

66966966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66966966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84300720).

66966966 is an abundant number, since it is smaller than the sum of its proper divisors (101634474).

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

66966966 is a wasteful number, since it uses less digits than its factorization.

66966966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 66966966 is about 8183.3346503733. The cubic root of 66966966 is about 406.0880482354.

It can be divided in two parts, 6 and 6966966, that multiplied together give a triangular number (41801796 = T₉₁₄₃).

The spelling of 66966966 in words is "sixty-six million, nine hundred sixty-six thousand, nine hundred sixty-six".