66910592 has 64 divisors (see below), whose sum is σ = 155325600. Its totient is φ = 28114944.

The previous prime is 66910583. The next prime is 66910607. The reversal of 66910592 is 29501966.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×66910592³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46784 + ... + 48192.

Almost surely, 2^66910592 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 66910592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77662800).

66910592 is an abundant number, since it is smaller than the sum of its proper divisors (88415008).

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

66910592 is a wasteful number, since it uses less digits than its factorization.

66910592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 66910592 is about 8179.8894858060. The cubic root of 66910592 is about 405.9740654970.

The spelling of 66910592 in words is "sixty-six million, nine hundred ten thousand, five hundred ninety-two".