66873906 has 72 divisors (see below), whose sum is σ = 162716112. Its totient is φ = 19681200.

The previous prime is 66873899. The next prime is 66873931. The reversal of 66873906 is 60937866.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 941851 + ... + 941921.

It is an arithmetic number, because the mean of its divisors is an integer number (2259946).

Almost surely, 2^66873906 is an apocalyptic number.

66873906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66873906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81358056).

66873906 is an abundant number, since it is smaller than the sum of its proper divisors (95842206).

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

66873906 is a wasteful number, since it uses less digits than its factorization.

66873906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66873906 is about 8177.6467275128. The cubic root of 66873906 is about 405.8998555853.

It can be divided in two parts, 6687390 and 6, that added together give a square (6687396 = 2586²).

The spelling of 66873906 in words is "sixty-six million, eight hundred seventy-three thousand, nine hundred six".