66331104 has 144 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 18552576.

The previous prime is 66331099. The next prime is 66331151. The reversal of 66331104 is 40113366.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277417 + ... + 277655.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^66331104 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 66331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

66331104 is an abundant number, since it is smaller than the sum of its proper divisors (140510496).

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

66331104 is a wasteful number, since it uses less digits than its factorization.

66331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66331104 is about 8144.3909532880. The cubic root of 66331104 is about 404.7986684120.

The spelling of 66331104 in words is "sixty-six million, three hundred thirty-one thousand, one hundred four".