66824960 has 144 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 24182784.

The previous prime is 66824921. The next prime is 66824971. The reversal of 66824960 is 6942866.

66824960 is nontrivially palindromic in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805079 + ... + 805161.

It is an arithmetic number, because the mean of its divisors is an integer number (1223334).

Almost surely, 2^66824960 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 66824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

66824960 is an abundant number, since it is smaller than the sum of its proper divisors (109335136).

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

66824960 is a wasteful number, since it uses less digits than its factorization.

66824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 66824960 is about 8174.6535094767. The cubic root of 66824960 is about 405.8008033814.

The spelling of 66824960 in words is "sixty-six million, eight hundred twenty-four thousand, nine hundred sixty".