66246400 has 108 divisors (see below), whose sum is σ = 179066664. Its totient is φ = 24064000.

The previous prime is 66246377. The next prime is 66246409. The reversal of 66246400 is 464266.

66246400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66246409) by changing a digit.

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, 69930 + ... + 70870.

Almost surely, 2^66246400 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 66246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89533332).

66246400 is an abundant number, since it is smaller than the sum of its proper divisors (112820264).

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

66246400 is a wasteful number, since it uses less digits than its factorization.

66246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 66246400 is about 8139.1891488035. The cubic root of 66246400 is about 404.6262873829.

The spelling of 66246400 in words is "sixty-six million, two hundred forty-six thousand, four hundred".