66835328 has 64 divisors (see below), whose sum is σ = 153938400. Its totient is φ = 28311552.

The previous prime is 66835297. The next prime is 66835333. The reversal of 66835328 is 82353866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×66835328² = 8933922137735168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86528 + ... + 87296.

Almost surely, 2^66835328 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 66835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76969200).

66835328 is an abundant number, since it is smaller than the sum of its proper divisors (87103072).

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

66835328 is an equidigital number, since it uses as much as digits as its factorization.

66835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 66835328 is about 8175.2876401996. The cubic root of 66835328 is about 405.8217891785.

The spelling of 66835328 in words is "sixty-six million, eight hundred thirty-five thousand, three hundred twenty-eight".