66420576 has 72 divisors (see below), whose sum is σ = 190152144. Its totient is φ = 21991680.

The previous prime is 66420559. The next prime is 66420671. The reversal of 66420576 is 67502466.

66420576 is a `hidden beast` number, since 6 + 64 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66420576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47406 + ... + 48786.

It is an arithmetic number, because the mean of its divisors is an integer number (2641002).

Almost surely, 2^66420576 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 66420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95076072).

66420576 is an abundant number, since it is smaller than the sum of its proper divisors (123731568).

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

66420576 is a wasteful number, since it uses less digits than its factorization.

66420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66420576 is about 8149.8819623354. The cubic root of 66420576 is about 404.9805934917.

The spelling of 66420576 in words is "sixty-six million, four hundred twenty thousand, five hundred seventy-six".