66548052 has 72 divisors (see below), whose sum is σ = 176606976. Its totient is φ = 21104064.

The previous prime is 66548021. The next prime is 66548077. The reversal of 66548052 is 25084566.

66548052 is a `hidden beast` number, since 66 + 548 + 0 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 66547998 and 66548016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62073 + ... + 63135.

Almost surely, 2^66548052 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 66548052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88303488).

66548052 is an abundant number, since it is smaller than the sum of its proper divisors (110058924).

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

66548052 is a wasteful number, since it uses less digits than its factorization.

66548052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

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

The square root of 66548052 is about 8157.6989402650. The cubic root of 66548052 is about 405.2395108210.

It can be divided in two parts, 6654 and 8052, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 66548052 in words is "sixty-six million, five hundred forty-eight thousand, fifty-two".