66075624 has 48 divisors (see below), whose sum is σ = 180818820. Its totient is φ = 21795840.

The previous prime is 66075593. The next prime is 66075629. The reversal of 66075624 is 42657066.

It can be written as a sum of positive squares in 2 ways, for example, as 65318724 + 756900 = 8082^2 + 870^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66075629) 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, 2254 + ... + 11714.

Almost surely, 2^66075624 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 66075624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90409410).

66075624 is an abundant number, since it is smaller than the sum of its proper divisors (114743196).

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

66075624 is a wasteful number, since it uses less digits than its factorization.

66075624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66075624 is about 8128.6914076006. The cubic root of 66075624 is about 404.2782940235.

The spelling of 66075624 in words is "sixty-six million, seventy-five thousand, six hundred twenty-four".