66506256 has 60 divisors (see below), whose sum is σ = 187167708. Its totient is φ = 22044672.

The previous prime is 66506243. The next prime is 66506267. The reversal of 66506256 is 65260566.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 59536656 = 2640^2 + 7716^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66506256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26596 + ... + 28988.

Almost surely, 2^66506256 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 66506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93583854).

66506256 is an abundant number, since it is smaller than the sum of its proper divisors (120661452).

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

66506256 is a wasteful number, since it uses less digits than its factorization.

66506256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66506256 is about 8155.1367860999. The cubic root of 66506256 is about 405.1546551555.

The spelling of 66506256 in words is "sixty-six million, five hundred six thousand, two hundred fifty-six".