66017952 has 288 divisors, whose sum is σ = 253169280. Its totient is φ = 15759360.

The previous prime is 66017947. The next prime is 66017969. The reversal of 66017952 is 25971066.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 288174 + ... + 288402.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 2^66017952 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 66017952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

66017952 is an abundant number, since it is smaller than the sum of its proper divisors (187151328).

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

66017952 is a wasteful number, since it uses less digits than its factorization.

66017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 66017952 is about 8125.1431987381. The cubic root of 66017952 is about 404.1606393168.

The spelling of 66017952 in words is "sixty-six million, seventeen thousand, nine hundred fifty-two".