66253320 has 192 divisors, whose sum is σ = 250698240. Its totient is φ = 14860800.

The previous prime is 66253309. The next prime is 66253321. The reversal of 66253320 is 2335266.

66253320 is a `hidden beast` number, since 6 + 625 + 3 + 32 + 0 = 666.

66253320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66253320² = 8779004822044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66253321) 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 47 ways as a sum of consecutive naturals, for example, 153505 + ... + 153935.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^66253320 is an apocalyptic number.

66253320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

66253320 is an abundant number, since it is smaller than the sum of its proper divisors (184444920).

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

66253320 is a wasteful number, since it uses less digits than its factorization.

66253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 66253320 is about 8139.6142414736. The cubic root of 66253320 is about 404.6403757782.

Adding to 66253320 its reverse (2335266), we get a palindrome (68588586).

The spelling of 66253320 in words is "sixty-six million, two hundred fifty-three thousand, three hundred twenty".