66553488 has 100 divisors (see below), whose sum is σ = 195127020. Its totient is φ = 21897216.

The previous prime is 66553481. The next prime is 66553489. The reversal of 66553488 is 88435566.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 21233664 = 6732^2 + 4608^2 .

It is a super-2 number, since 2×66553488² = 8858733529932288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66553481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115056 + ... + 115632.

Almost surely, 2^66553488 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 66553488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97563510).

66553488 is an abundant number, since it is smaller than the sum of its proper divisors (128573532).

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

66553488 is a wasteful number, since it uses less digits than its factorization.

66553488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 66553488 is about 8158.0321156514. The cubic root of 66553488 is about 405.2505445625.

The spelling of 66553488 in words is "sixty-six million, five hundred fifty-three thousand, four hundred eighty-eight".