66312288 has 216 divisors, whose sum is σ = 227066112. Its totient is φ = 18289152.

The previous prime is 66312271. The next prime is 66312329. The reversal of 66312288 is 88221366.

66312288 is a `hidden beast` number, since 66 + 312 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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, 522081 + ... + 522207.

It is an arithmetic number, because the mean of its divisors is an integer number (1051232).

Almost surely, 2^66312288 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 66312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533056).

66312288 is an abundant number, since it is smaller than the sum of its proper divisors (160753824).

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

66312288 is a wasteful number, since it uses less digits than its factorization.

66312288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 66312288 is about 8143.2357205229. The cubic root of 66312288 is about 404.7603886730.

The spelling of 66312288 in words is "sixty-six million, three hundred twelve thousand, two hundred eighty-eight".