66167136 has 144 divisors (see below), whose sum is σ = 224550144. Its totient is φ = 18070272.

The previous prime is 66167083. The next prime is 66167147. The reversal of 66167136 is 63176166.

66167136 is a `hidden beast` number, since 6 + 616 + 7 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66167136.

It is a congruent number.

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, 45655 + ... + 47081.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^66167136 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 66167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

66167136 is an abundant number, since it is smaller than the sum of its proper divisors (158383008).

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

66167136 is a wasteful number, since it uses less digits than its factorization.

66167136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 66167136 is about 8134.3184102911. The cubic root of 66167136 is about 404.4648441544.

The spelling of 66167136 in words is "sixty-six million, one hundred sixty-seven thousand, one hundred thirty-six".