66720126 has 48 divisors (see below), whose sum is σ = 151779600. Its totient is φ = 19514880.

The previous prime is 66720109. The next prime is 66720149. The reversal of 66720126 is 62102766.

It is a junction number, because it is equal to n+sod(n) for n = 66720093 and 66720102.

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, 19470 + ... + 22638.

It is an arithmetic number, because the mean of its divisors is an integer number (3162075).

Almost surely, 2^66720126 is an apocalyptic number.

66720126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66720126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889800).

66720126 is an abundant number, since it is smaller than the sum of its proper divisors (85059474).

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

66720126 is a wasteful number, since it uses less digits than its factorization.

66720126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3214 counting only the distinct ones).

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

The square root of 66720126 is about 8168.2388554694. The cubic root of 66720126 is about 405.5884875685.

The spelling of 66720126 in words is "sixty-six million, seven hundred twenty thousand, one hundred twenty-six".