66129696 has 120 divisors (see below), whose sum is σ = 201003264. Its totient is φ = 21306240.

The previous prime is 66129683. The next prime is 66129703. The reversal of 66129696 is 69692166.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79941 + ... + 80763.

Almost surely, 2^66129696 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 66129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100501632).

66129696 is an abundant number, since it is smaller than the sum of its proper divisors (134873568).

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

66129696 is a wasteful number, since it uses less digits than its factorization.

66129696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 66129696 is about 8132.0167240359. The cubic root of 66129696 is about 404.3885423235.

It can be divided in two parts, 6 and 6129696, that multiplied together give a triangular number (36778176 = T₈₅₇₆).

The spelling of 66129696 in words is "sixty-six million, one hundred twenty-nine thousand, six hundred ninety-six".