66488688 has 180 divisors, whose sum is σ = 225115800. Its totient is φ = 18942336.

The previous prime is 66488687. The next prime is 66488689. The reversal of 66488688 is 88688466.

It is an interprime number because it is at equal distance from previous prime (66488687) and next prime (66488689).

It is a super-2 number, since 2×66488688² = 8841491263922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66488687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190338 + ... + 190686.

Almost surely, 2^66488688 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 66488688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112557900).

66488688 is an abundant number, since it is smaller than the sum of its proper divisors (158627112).

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

66488688 is a wasteful number, since it uses less digits than its factorization.

66488688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 66488688 is about 8154.0596024312. The cubic root of 66488688 is about 405.1189773901.

It can be divided in two parts, 66488 and 688, that added together give a palindrome (67176).

The spelling of 66488688 in words is "sixty-six million, four hundred eighty-eight thousand, six hundred eighty-eight".