66801924 has 72 divisors (see below), whose sum is σ = 196297920. Its totient is φ = 18758592.

The previous prime is 66801907. The next prime is 66801937. The reversal of 66801924 is 42910866.

66801924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 12622 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (2726360).

Almost surely, 2^66801924 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 66801924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98148960).

66801924 is an abundant number, since it is smaller than the sum of its proper divisors (129495996).

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

66801924 is a wasteful number, since it uses less digits than its factorization.

66801924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 66801924 is about 8173.2443986461. The cubic root of 66801924 is about 405.7541686027.

The spelling of 66801924 in words is "sixty-six million, eight hundred one thousand, nine hundred twenty-four".