66202080 has 384 divisors, whose sum is σ = 269982720. Its totient is φ = 13271040.

The previous prime is 66202049. The next prime is 66202091. The reversal of 66202080 is 8020266.

66202080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66202080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085250 + ... + 1085310.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^66202080 is an apocalyptic number.

66202080 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 66202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

66202080 is an abundant number, since it is smaller than the sum of its proper divisors (203780640).

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

66202080 is a wasteful number, since it uses less digits than its factorization.

66202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66202080 is about 8136.4660633472. The cubic root of 66202080 is about 404.5360332321.

The spelling of 66202080 in words is "sixty-six million, two hundred two thousand, eighty".