66085888 has 44 divisors (see below), whose sum is σ = 144141552. Its totient is φ = 30033920.

The previous prime is 66085879. The next prime is 66085897. The reversal of 66085888 is 88858066.

It is an interprime number because it is at equal distance from previous prime (66085879) and next prime (66085897).

It is a tau number, because it is divible by the number of its divisors (44).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8331 + ... + 14197.

Almost surely, 2^66085888 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 66085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72070776).

66085888 is an abundant number, since it is smaller than the sum of its proper divisors (78055664).

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

66085888 is a wasteful number, since it uses less digits than its factorization.

66085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The square root of 66085888 is about 8129.3227270173. The cubic root of 66085888 is about 404.2992260875.

The spelling of 66085888 in words is "sixty-six million, eighty-five thousand, eight hundred eighty-eight".