66803500 has 96 divisors (see below), whose sum is σ = 157352832. Its totient is φ = 24710400.

The previous prime is 66803491. The next prime is 66803509. The reversal of 66803500 is 530866.

It is an interprime number because it is at equal distance from previous prime (66803491) and next prime (66803509).

It is a super-2 number, since 2×66803500² = 8925415224500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66803509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 425422 + ... + 425578.

It is an arithmetic number, because the mean of its divisors is an integer number (1639092).

Almost surely, 2^66803500 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 66803500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78676416).

66803500 is an abundant number, since it is smaller than the sum of its proper divisors (90549332).

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

66803500 is a wasteful number, since it uses less digits than its factorization.

66803500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66803500 is about 8173.3408102195. The cubic root of 66803500 is about 405.7573594466.

The spelling of 66803500 in words is "sixty-six million, eight hundred three thousand, five hundred".