66408832 has 64 divisors (see below), whose sum is σ = 152583840. Its totient is φ = 28200960.

The previous prime is 66408761. The next prime is 66408877. The reversal of 66408832 is 23880466.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 66408791 and 66408800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122482 + ... + 123022.

Almost surely, 2^66408832 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 66408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76291920).

66408832 is an abundant number, since it is smaller than the sum of its proper divisors (86175008).

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

66408832 is a wasteful number, since it uses less digits than its factorization.

66408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 66408832 is about 8149.1614292515. The cubic root of 66408832 is about 404.9567235169.

The spelling of 66408832 in words is "sixty-six million, four hundred eight thousand, eight hundred thirty-two".