66506176 has 56 divisors (see below), whose sum is σ = 152467056. Its totient is φ = 28446720.

The previous prime is 66506161. The next prime is 66506189. The reversal of 66506176 is 67160566.

It is a happy number.

It is a super-2 number, since 2×66506176² = 8846142892285952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9190 + ... + 14746.

It is an arithmetic number, because the mean of its divisors is an integer number (2722626).

Almost surely, 2^66506176 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 66506176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76233528).

66506176 is an abundant number, since it is smaller than the sum of its proper divisors (85960880).

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

66506176 is a wasteful number, since it uses less digits than its factorization.

66506176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 66506176 is about 8155.1318812144. The cubic root of 66506176 is about 405.1544927027.

The spelling of 66506176 in words is "sixty-six million, five hundred six thousand, one hundred seventy-six".