64134816 has 48 divisors (see below), whose sum is σ = 169329888. Its totient is φ = 21254400.

The previous prime is 64134809. The next prime is 64134817. The reversal of 64134816 is 61843146.

64134816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×64134816³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (64134817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15531 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (3527706).

Almost surely, 2^64134816 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 64134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84664944).

64134816 is an abundant number, since it is smaller than the sum of its proper divisors (105195072).

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

64134816 is a wasteful number, since it uses less digits than its factorization.

64134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3877 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 64134816 is about 8008.4215673252. The cubic root of 64134816 is about 400.2806696819.

The spelling of 64134816 in words is "sixty-four million, one hundred thirty-four thousand, eight hundred sixteen".