66717126 has 72 divisors (see below), whose sum is σ = 170815320. Its totient is φ = 18760896.

The previous prime is 66717107. The next prime is 66717137. The reversal of 66717126 is 62171766.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58530 + ... + 59658.

It is an arithmetic number, because the mean of its divisors is an integer number (2372435).

Almost surely, 2^66717126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66717126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407660).

66717126 is an abundant number, since it is smaller than the sum of its proper divisors (104098194).

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

66717126 is a wasteful number, since it uses less digits than its factorization.

66717126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 66717126 is about 8168.0552152884. The cubic root of 66717126 is about 405.5824085248.

The spelling of 66717126 in words is "sixty-six million, seven hundred seventeen thousand, one hundred twenty-six".