66514048 has 32 divisors (see below), whose sum is σ = 133510860. Its totient is φ = 33005568.

The previous prime is 66514043. The next prime is 66514057. The reversal of 66514048 is 84041566.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 1098304 = 8088^2 + 1048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (66514043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15640 + ... + 19432.

Almost surely, 2^66514048 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 66514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66755430).

66514048 is an abundant number, since it is smaller than the sum of its proper divisors (66996812).

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

66514048 is a wasteful number, since it uses less digits than its factorization.

With its successor (66514049) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3944).

66514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 66514048 is about 8155.6145078099. The cubic root of 66514048 is about 405.1704774354.

The spelling of 66514048 in words is "sixty-six million, five hundred fourteen thousand, forty-eight".