66042936 has 96 divisors (see below), whose sum is σ = 196560000. Its totient is φ = 19939392.

The previous prime is 66042919. The next prime is 66042941. The reversal of 66042936 is 63924066.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66042936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30415 + ... + 32513.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^66042936 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 66042936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

66042936 is an abundant number, since it is smaller than the sum of its proper divisors (130517064).

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

66042936 is a wasteful number, since it uses less digits than its factorization.

66042936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66042936 is about 8126.6805031329. The cubic root of 66042936 is about 404.2116167434.

The spelling of 66042936 in words is "sixty-six million, forty-two thousand, nine hundred thirty-six".