66832128 has 180 divisors, whose sum is σ = 218139768. Its totient is φ = 20183040.

The previous prime is 66832121. The next prime is 66832133. The reversal of 66832128 is 82123866.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66832092 and 66832101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66832121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227950 + ... + 228242.

Almost surely, 2^66832128 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 66832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109069884).

66832128 is an abundant number, since it is smaller than the sum of its proper divisors (151307640).

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

66832128 is a wasteful number, since it uses less digits than its factorization.

66832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 66832128 is about 8175.0919260887. The cubic root of 66832128 is about 405.8153123122.

The spelling of 66832128 in words is "sixty-six million, eight hundred thirty-two thousand, one hundred twenty-eight".