66007944 has 96 divisors (see below), whose sum is σ = 187363800. Its totient is φ = 20966400.

The previous prime is 66007937. The next prime is 66007969. The reversal of 66007944 is 44970066.

66007944 is a `hidden beast` number, since 6 + 600 + 7 + 9 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54022500 + 11985444 = 7350^2 + 3462^2 .

It is a super-2 number, since 2×66007944² = 8714097342214272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66007899 and 66007908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210732 + ... + 211044.

Almost surely, 2^66007944 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 66007944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93681900).

66007944 is an abundant number, since it is smaller than the sum of its proper divisors (121355856).

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

66007944 is a wasteful number, since it uses less digits than its factorization.

66007944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66007944 is about 8124.5273093270. The cubic root of 66007944 is about 404.1402153565.

The spelling of 66007944 in words is "sixty-six million, seven thousand, nine hundred forty-four".