66434688 has 128 divisors (see below), whose sum is σ = 200736000. Its totient is φ = 21620736.

The previous prime is 66434681. The next prime is 66434689. The reversal of 66434688 is 88643466.

It is a tau number, because it is divible by the number of its divisors (128).

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 (66434681) 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, 162228 + ... + 162636.

It is an arithmetic number, because the mean of its divisors is an integer number (1568250).

Almost surely, 2^66434688 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 66434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100368000).

66434688 is an abundant number, since it is smaller than the sum of its proper divisors (134301312).

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

66434688 is a wasteful number, since it uses less digits than its factorization.

66434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 66434688 is about 8150.7476957639. The cubic root of 66434688 is about 405.0092727644.

The spelling of 66434688 in words is "sixty-six million, four hundred thirty-four thousand, six hundred eighty-eight".