66261132 has 144 divisors (see below), whose sum is σ = 210672000. Its totient is φ = 17908128.

The previous prime is 66261119. The next prime is 66261149. The reversal of 66261132 is 23116266.

66261132 is a `hidden beast` number, since 6 + 626 + 1 + 1 + 32 = 666.

It is a super-2 number, since 2×66261132² = 8781075227842848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 66261096 and 66261105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100219 + ... + 100877.

It is an arithmetic number, because the mean of its divisors is an integer number (1463000).

Almost surely, 2^66261132 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 66261132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336000).

66261132 is an abundant number, since it is smaller than the sum of its proper divisors (144410868).

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

66261132 is a wasteful number, since it uses less digits than its factorization.

66261132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 690 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66261132 is about 8140.0941026502. The cubic root of 66261132 is about 404.6562790134.

Adding to 66261132 its reverse (23116266), we get a palindrome (89377398).

The spelling of 66261132 in words is "sixty-six million, two hundred sixty-one thousand, one hundred thirty-two".