66818592 has 72 divisors (see below), whose sum is σ = 200032560. Its totient is φ = 21098880.

The previous prime is 66818567. The next prime is 66818617. The reversal of 66818592 is 29581866.

66818592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66818567) and next prime (66818617).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634 + ... + 11577.

It is an arithmetic number, because the mean of its divisors is an integer number (2778230).

Almost surely, 2^66818592 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 66818592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100016280).

66818592 is an abundant number, since it is smaller than the sum of its proper divisors (133213968).

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

66818592 is a wasteful number, since it uses less digits than its factorization.

66818592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12235 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 66818592 is about 8174.2640035663. The cubic root of 66818592 is about 405.7879128806.

The spelling of 66818592 in words is "sixty-six million, eight hundred eighteen thousand, five hundred ninety-two".