64181376 has 192 divisors, whose sum is σ = 220932000. Its totient is φ = 18289152.

The previous prime is 64181329. The next prime is 64181389. The reversal of 64181376 is 67318146.

64181376 is a `hidden beast` number, since 641 + 8 + 1 + 3 + 7 + 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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64181376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169155 + ... + 169533.

Almost surely, 2^64181376 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 64181376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110466000).

64181376 is an abundant number, since it is smaller than the sum of its proper divisors (156750624).

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

64181376 is a wasteful number, since it uses less digits than its factorization.

64181376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 64181376 is about 8011.3279798046. The cubic root of 64181376 is about 400.3775102696.

The spelling of 64181376 in words is "sixty-four million, one hundred eighty-one thousand, three hundred seventy-six".