66429936 has 80 divisors (see below), whose sum is σ = 191654400. Its totient is φ = 22030272.

The previous prime is 66429917. The next prime is 66429949. The reversal of 66429936 is 63992466.

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

It is a junction number, because it is equal to n+sod(n) for n = 66429891 and 66429900.

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, 158335 + ... + 158753.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^66429936 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 66429936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95827200).

66429936 is an abundant number, since it is smaller than the sum of its proper divisors (125224464).

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

66429936 is a wasteful number, since it uses less digits than its factorization.

66429936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 66429936 is about 8150.4561835519. The cubic root of 66429936 is about 404.9996159118. Note that the first 3 decimals are identical.

The spelling of 66429936 in words is "sixty-six million, four hundred twenty-nine thousand, nine hundred thirty-six".