66282048 has 168 divisors, whose sum is σ = 230136192. Its totient is φ = 17805312.

The previous prime is 66282037. The next prime is 66282053. The reversal of 66282048 is 84028266.

66282048 is a `hidden beast` number, since 6 + 628 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68061 + ... + 69027.

Almost surely, 2^66282048 is an apocalyptic number.

66282048 is a gapful number since it is divisible by the number (68) 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 66282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115068096).

66282048 is an abundant number, since it is smaller than the sum of its proper divisors (163854144).

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

66282048 is a wasteful number, since it uses less digits than its factorization.

66282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66282048 is about 8141.3787530123. The cubic root of 66282048 is about 404.6988524903.

The spelling of 66282048 in words is "sixty-six million, two hundred eighty-two thousand, forty-eight".