66485052 has 72 divisors (see below), whose sum is σ = 178017840. Its totient is φ = 20885760.

The previous prime is 66485033. The next prime is 66485053. The reversal of 66485052 is 25058466.

66485052 is a `hidden beast` number, since 6 + 648 + 5 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66484998 and 66485016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66485053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44152 + ... + 45632.

It is an arithmetic number, because the mean of its divisors is an integer number (2472470).

Almost surely, 2^66485052 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 66485052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89008920).

66485052 is an abundant number, since it is smaller than the sum of its proper divisors (111532788).

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

66485052 is a wasteful number, since it uses less digits than its factorization.

66485052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 66485052 is about 8153.8366429553. The cubic root of 66485052 is about 405.1115924775. Note that the first 3 decimals are identical.

The spelling of 66485052 in words is "sixty-six million, four hundred eighty-five thousand, fifty-two".