66830904 has 144 divisors (see below), whose sum is σ = 221855400. Its totient is φ = 18071424.

The previous prime is 66830899. The next prime is 66830909. The reversal of 66830904 is 40903866.

It is an interprime number because it is at equal distance from previous prime (66830899) and next prime (66830909).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66830909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66534 + ... + 67530.

Almost surely, 2^66830904 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 66830904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110927700).

66830904 is an abundant number, since it is smaller than the sum of its proper divisors (155024496).

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

66830904 is a wasteful number, since it uses less digits than its factorization.

66830904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66830904 is about 8175.0170642024. The cubic root of 66830904 is about 405.8128348562.

The spelling of 66830904 in words is "sixty-six million, eight hundred thirty thousand, nine hundred four".