66288801 has 16 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 43234128.

The previous prime is 66288787. The next prime is 66288857. The reversal of 66288801 is 10888266.

It is not a de Polignac number, because 66288801 - 2⁵ = 66288769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66288801.

It is not an unprimeable number, because it can be changed into a prime (66288301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41520 + ... + 43086.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^66288801 is an apocalyptic number.

66288801 is the 4701-st octagonal number.

It is an amenable number.

66288801 is a deficient number, since it is larger than the sum of its proper divisors (24027999).

66288801 is a wasteful number, since it uses less digits than its factorization.

66288801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 66288801 is about 8141.7934756416. The cubic root of 66288801 is about 404.7125959730.

The spelling of 66288801 in words is "sixty-six million, two hundred eighty-eight thousand, eight hundred one".