66554592 has 96 divisors (see below), whose sum is σ = 199275552. Its totient is φ = 19267584.

The previous prime is 66554581. The next prime is 66554597. The reversal of 66554592 is 29545566.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66554597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19648 + ... + 22784.

It is an arithmetic number, because the mean of its divisors is an integer number (2075787).

Almost surely, 2^66554592 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 66554592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637776).

66554592 is an abundant number, since it is smaller than the sum of its proper divisors (132720960).

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

66554592 is a wasteful number, since it uses less digits than its factorization.

66554592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3172 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 66554592 is about 8158.0997787475. The cubic root of 66554592 is about 405.2527853373.

The spelling of 66554592 in words is "sixty-six million, five hundred fifty-four thousand, five hundred ninety-two".