66134016 has 224 divisors, whose sum is σ = 220187520. Its totient is φ = 19464192.

The previous prime is 66133999. The next prime is 66134017. The reversal of 66134016 is 61043166.

66134016 is a `hidden beast` number, since 6 + 613 + 40 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66134017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875381 + ... + 2875403.

It is an arithmetic number, because the mean of its divisors is an integer number (982980).

Almost surely, 2^66134016 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 66134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093760).

66134016 is an abundant number, since it is smaller than the sum of its proper divisors (154053504).

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

66134016 is a wasteful number, since it uses less digits than its factorization.

66134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66134016 is about 8132.2823364662. The cubic root of 66134016 is about 404.3973478504.

The spelling of 66134016 in words is "sixty-six million, one hundred thirty-four thousand, sixteen".