66800352 has 96 divisors (see below), whose sum is σ = 188334720. Its totient is φ = 20666880.

The previous prime is 66800347. The next prime is 66800353. The reversal of 66800352 is 25300866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66800353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96327 + ... + 97017.

It is an arithmetic number, because the mean of its divisors is an integer number (1961820).

Almost surely, 2^66800352 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 66800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94167360).

66800352 is an abundant number, since it is smaller than the sum of its proper divisors (121534368).

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

66800352 is a wasteful number, since it uses less digits than its factorization.

66800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66800352 is about 8173.1482306392. The cubic root of 66800352 is about 405.7509858073.

The spelling of 66800352 in words is "sixty-six million, eight hundred thousand, three hundred fifty-two".