66106320 has 240 divisors, whose sum is σ = 249448320. Its totient is φ = 14183424.

The previous prime is 66106307. The next prime is 66106321. The reversal of 66106320 is 2360166.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66106321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606426 + ... + 606534.

It is an arithmetic number, because the mean of its divisors is an integer number (1039368).

Almost surely, 2^66106320 is an apocalyptic number.

66106320 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 66106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124724160).

66106320 is an abundant number, since it is smaller than the sum of its proper divisors (183342000).

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

66106320 is a wasteful number, since it uses less digits than its factorization.

66106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66106320 is about 8130.5793151534. The cubic root of 66106320 is about 404.3408879856.

Adding to 66106320 its reverse (2360166), we get a palindrome (68466486).

The spelling of 66106320 in words is "sixty-six million, one hundred six thousand, three hundred twenty".