66126720 has 256 divisors, whose sum is σ = 239708160. Its totient is φ = 15360000.

The previous prime is 66126701. The next prime is 66126769. The reversal of 66126720 is 2762166.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654670 + ... + 654770.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 2^66126720 is an apocalyptic number.

66126720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119854080).

66126720 is an abundant number, since it is smaller than the sum of its proper divisors (173581440).

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

66126720 is a wasteful number, since it uses less digits than its factorization.

66126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 66126720 is about 8131.8337415370. The cubic root of 66126720 is about 404.3824760707.

Adding to 66126720 its reverse (2762166), we get a palindrome (68888886).

The spelling of 66126720 in words is "sixty-six million, one hundred twenty-six thousand, seven hundred twenty".