66506304 has 56 divisors (see below), whose sum is σ = 177828448. Its totient is φ = 21934080.

The previous prime is 66506303. The next prime is 66506311. The reversal of 66506304 is 40360566.

It is not an unprimeable number, because it can be changed into a prime (66506303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16839 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (3175508).

Almost surely, 2^66506304 is an apocalyptic number.

66506304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88914224).

66506304 is an abundant number, since it is smaller than the sum of its proper divisors (111322144).

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

66506304 is a wasteful number, since it uses less digits than its factorization.

66506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66506304 is about 8155.1397290298. The cubic root of 66506304 is about 405.1547526272.

The spelling of 66506304 in words is "sixty-six million, five hundred six thousand, three hundred four".