66632356 has 36 divisors (see below), whose sum is σ = 137532108. Its totient is φ = 28159488.

The previous prime is 66632351. The next prime is 66632381. The reversal of 66632356 is 65323666.

It can be written as a sum of positive squares in 2 ways, for example, as 21473956 + 45158400 = 4634^2 + 6720^2 .

It is a super-2 number, since 2×66632356² = 8879741732221472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66632351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11980 + ... + 16636.

Almost surely, 2^66632356 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 66632356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68766054).

66632356 is an abundant number, since it is smaller than the sum of its proper divisors (70899752).

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

66632356 is a wasteful number, since it uses less digits than its factorization.

66632356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4739 counting only the distinct ones).

The product of its digits is 116640, while the sum is 37.

The square root of 66632356 is about 8162.8644482191. The cubic root of 66632356 is about 405.4105596329.

The spelling of 66632356 in words is "sixty-six million, six hundred thirty-two thousand, three hundred fifty-six".