66034080 has 144 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 15091200.

The previous prime is 66034079. The next prime is 66034093. The reversal of 66034080 is 8043066.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6805 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^66034080 is an apocalyptic number.

66034080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

66034080 is an abundant number, since it is smaller than the sum of its proper divisors (191538144).

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

66034080 is a wasteful number, since it uses less digits than its factorization.

66034080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66034080 is about 8126.1356129467. The cubic root of 66034080 is about 404.1935484063.

The spelling of 66034080 in words is "sixty-six million, thirty-four thousand, eighty".