66288264 has 96 divisors (see below), whose sum is σ = 200070720. Its totient is φ = 17926272.

The previous prime is 66288263. The next prime is 66288289. The reversal of 66288264 is 46288266.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66288263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60102 + ... + 61194.

It is an arithmetic number, because the mean of its divisors is an integer number (2084070).

Almost surely, 2^66288264 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 66288264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100035360).

66288264 is an abundant number, since it is smaller than the sum of its proper divisors (133782456).

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

66288264 is a wasteful number, since it uses less digits than its factorization.

66288264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1124 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 66288264 is about 8141.7604975828. The cubic root of 66288264 is about 404.7115031225.

The spelling of 66288264 in words is "sixty-six million, two hundred eighty-eight thousand, two hundred sixty-four".