66429888 has 168 divisors, whose sum is σ = 214042752. Its totient is φ = 18095616.

The previous prime is 66429887. The next prime is 66429889. The reversal of 66429888 is 88892466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66429887) and next prime (66429889).

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 66429888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66429887) 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, 216231 + ... + 216537.

It is an arithmetic number, because the mean of its divisors is an integer number (1274064).

Almost surely, 2^66429888 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 66429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107021376).

66429888 is an abundant number, since it is smaller than the sum of its proper divisors (147612864).

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

66429888 is a wasteful number, since it uses less digits than its factorization.

66429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 66429888 is about 8150.4532389309. The cubic root of 66429888 is about 404.9995183655. Note that the first 3 decimals are identical.

The spelling of 66429888 in words is "sixty-six million, four hundred twenty-nine thousand, eight hundred eighty-eight".