66829374 has 48 divisors (see below), whose sum is σ = 151132800. Its totient is φ = 22132440.

The previous prime is 66829361. The next prime is 66829379. The reversal of 66829374 is 47392866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66829379) 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 23 ways as a sum of consecutive naturals, for example, 96369 + ... + 97059.

It is an arithmetic number, because the mean of its divisors is an integer number (3148600).

Almost surely, 2^66829374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66829374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75566400).

66829374 is an abundant number, since it is smaller than the sum of its proper divisors (84303426).

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

66829374 is a wasteful number, since it uses less digits than its factorization.

66829374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 66829374 is about 8174.9234858805. The cubic root of 66829374 is about 405.8097379936.

The spelling of 66829374 in words is "sixty-six million, eight hundred twenty-nine thousand, three hundred seventy-four".