66129424 has 45 divisors (see below), whose sum is σ = 136499727. Its totient is φ = 31031712.

The previous prime is 66129419. The next prime is 66129451. The reversal of 66129424 is 42492166.

The square root of 66129424 is 8132.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (20736) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 66129424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617979 + ... + 618085.

Almost surely, 2^66129424 is an apocalyptic number.

66129424 is the 8132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66129424

66129424 is an abundant number, since it is smaller than the sum of its proper divisors (70370303).

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

66129424 is a wasteful number, since it uses less digits than its factorization.

66129424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The cubic root of 66129424 is about 404.3879878886.

Multiplying 66129424 by its product of digits (20736), we get a square (1371259736064 = 1171008²).

The spelling of 66129424 in words is "sixty-six million, one hundred twenty-nine thousand, four hundred twenty-four".