66160800 has 180 divisors, whose sum is σ = 241511886. Its totient is φ = 17625600.

The previous prime is 66160799. The next prime is 66160807. The reversal of 66160800 is 806166.

It can be written as a sum of positive squares in 3 ways, for example, as 51322896 + 14837904 = 7164^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66160807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64290 + ... + 65310.

Almost surely, 2^66160800 is an apocalyptic number.

66160800 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 66160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120755943).

66160800 is an abundant number, since it is smaller than the sum of its proper divisors (175351086).

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

66160800 is a wasteful number, since it uses less digits than its factorization.

66160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

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

The square root of 66160800 is about 8133.9289399404. The cubic root of 66160800 is about 404.4519335605.

Adding to 66160800 its reverse (806166), we get a palindrome (66966966).

The spelling of 66160800 in words is "sixty-six million, one hundred sixty thousand, eight hundred".