66459648 has 96 divisors (see below), whose sum is σ = 183783600. Its totient is φ = 21331968.

The previous prime is 66459641. The next prime is 66459697. The reversal of 66459648 is 84695466.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66459597 and 66459606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66459641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177990 + ... + 178362.

Almost surely, 2^66459648 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 66459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91891800).

66459648 is an abundant number, since it is smaller than the sum of its proper divisors (117323952).

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

66459648 is a wasteful number, since it uses less digits than its factorization.

66459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 66459648 is about 8152.2786998483. The cubic root of 66459648 is about 405.0599880659.

The spelling of 66459648 in words is "sixty-six million, four hundred fifty-nine thousand, six hundred forty-eight".