66506832 has 100 divisors (see below), whose sum is σ = 220018656. Its totient is φ = 18999360.

The previous prime is 66506827. The next prime is 66506849. The reversal of 66506832 is 23860566.

66506832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5407 + ... + 12737.

Almost surely, 2^66506832 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 66506832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110009328).

66506832 is an abundant number, since it is smaller than the sum of its proper divisors (153511824).

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

66506832 is a wasteful number, since it uses less digits than its factorization.

66506832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66506832 is about 8155.1721011883. The cubic root of 66506832 is about 405.1558248120.

The spelling of 66506832 in words is "sixty-six million, five hundred six thousand, eight hundred thirty-two".