66051648 has 84 divisors (see below), whose sum is σ = 203911708. Its totient is φ = 20321280.

The previous prime is 66051637. The next prime is 66051659. The reversal of 66051648 is 84615066.

66051648 is a `hidden beast` number, since 6 + 6 + 0 + 5 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (66051637) and next prime (66051659).

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 41370624 = 4968^2 + 6432^2 .

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 11 ways as a sum of consecutive naturals, for example, 3078 + ... + 11898.

Almost surely, 2^66051648 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 66051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955854).

66051648 is an abundant number, since it is smaller than the sum of its proper divisors (137860060).

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

66051648 is a wasteful number, since it uses less digits than its factorization.

66051648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66051648 is about 8127.2164976700. The cubic root of 66051648 is about 404.2293897104.

The spelling of 66051648 in words is "sixty-six million, fifty-one thousand, six hundred forty-eight".