66059136 has 192 divisors, whose sum is σ = 223881840. Its totient is φ = 18432000.

The previous prime is 66059131. The next prime is 66059183. The reversal of 66059136 is 63195066.

66059136 is a `hidden beast` number, since 6 + 60 + 591 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66059136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66059131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164536 + ... + 164936.

Almost surely, 2^66059136 is an apocalyptic number.

66059136 is a gapful number since it is divisible by the number (66) 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 66059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111940920).

66059136 is an abundant number, since it is smaller than the sum of its proper divisors (157822704).

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

66059136 is a wasteful number, since it uses less digits than its factorization.

66059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66059136 is about 8127.6771589428. The cubic root of 66059136 is about 404.2446644002.

The spelling of 66059136 in words is "sixty-six million, fifty-nine thousand, one hundred thirty-six".