66532032 has 168 divisors, whose sum is σ = 225856800. Its totient is φ = 18321408.

The previous prime is 66532021. The next prime is 66532043. The reversal of 66532032 is 23023566.

66532032 is a `hidden beast` number, since 6 + 653 + 2 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66532021) and next prime (66532043).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×66532032² = 8853022564098048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66531987 and 66532005.

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, 116644 + ... + 117212.

Almost surely, 2^66532032 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 66532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112928400).

66532032 is an abundant number, since it is smaller than the sum of its proper divisors (159324768).

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

66532032 is a wasteful number, since it uses less digits than its factorization.

66532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 66532032 is about 8156.7169866313. The cubic root of 66532032 is about 405.2069906707.

Adding to 66532032 its reverse (23023566), we get a palindrome (89555598).

The spelling of 66532032 in words is "sixty-six million, five hundred thirty-two thousand, thirty-two".