66016800 has 216 divisors, whose sum is σ = 238555044. Its totient is φ = 17172480.

The previous prime is 66016787. The next prime is 66016813. The reversal of 66016800 is 861066.

It is an interprime number because it is at equal distance from previous prime (66016787) and next prime (66016813).

It can be written as a sum of positive squares in 6 ways, for example, as 46621584 + 19395216 = 6828^2 + 4404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381514 + ... + 381686.

Almost surely, 2^66016800 is an apocalyptic number.

66016800 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 66016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119277522).

66016800 is an abundant number, since it is smaller than the sum of its proper divisors (172538244).

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

66016800 is a wasteful number, since it uses less digits than its factorization.

66016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66016800 is about 8125.0723073706. The cubic root of 66016800 is about 404.1582884625.

Adding to 66016800 its reverse (861066), we get a palindrome (66877866).

The spelling of 66016800 in words is "sixty-six million, sixteen thousand, eight hundred".