66615456 has 48 divisors (see below), whose sum is σ = 176589504. Its totient is φ = 21986304.

The previous prime is 66615433. The next prime is 66615473. The reversal of 66615456 is 65451666.

66615456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 6520 + ... + 13256.

It is an arithmetic number, because the mean of its divisors is an integer number (3678948).

Almost surely, 2^66615456 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 66615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88294752).

66615456 is an abundant number, since it is smaller than the sum of its proper divisors (109974048).

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

66615456 is a wasteful number, since it uses less digits than its factorization.

66615456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6845 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 66615456 is about 8161.8292067404. The cubic root of 66615456 is about 405.3762819026.

The spelling of 66615456 in words is "sixty-six million, six hundred fifteen thousand, four hundred fifty-six".