66634144 has 48 divisors (see below), whose sum is σ = 135331560. Its totient is φ = 32281600.

The previous prime is 66634123. The next prime is 66634147. The reversal of 66634144 is 44143666.

It can be written as a sum of positive squares in 4 ways, for example, as 65610000 + 1024144 = 8100^2 + 1012^2 .

It is a super-3 number, since 3×66634144³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (66634147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171102 + ... + 171490.

Almost surely, 2^66634144 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 66634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665780).

66634144 is an abundant number, since it is smaller than the sum of its proper divisors (68697416).

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

66634144 is a wasteful number, since it uses less digits than its factorization.

66634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 66634144 is about 8162.9739678624. The cubic root of 66634144 is about 405.4141858371.

The spelling of 66634144 in words is "sixty-six million, six hundred thirty-four thousand, one hundred forty-four".