66140800 has 96 divisors (see below), whose sum is σ = 178336800. Its totient is φ = 24038400.

The previous prime is 66140783. The next prime is 66140819. The reversal of 66140800 is 804166.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34261 + ... + 36139.

It is an arithmetic number, because the mean of its divisors is an integer number (1857675).

Almost surely, 2^66140800 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 66140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89168400).

66140800 is an abundant number, since it is smaller than the sum of its proper divisors (112196000).

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

66140800 is a wasteful number, since it uses less digits than its factorization.

66140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 66140800 is about 8132.6994288489. The cubic root of 66140800 is about 404.4111750152.

Adding to 66140800 its reverse (804166), we get a palindrome (66944966).

The spelling of 66140800 in words is "sixty-six million, one hundred forty thousand, eight hundred".