64190016 has 168 divisors, whose sum is σ = 208097120. Its totient is φ = 19388160.

The previous prime is 64190003. The next prime is 64190017. The reversal of 64190016 is 61009146.

64190016 is a `hidden beast` number, since 641 + 9 + 0 + 0 + 16 = 666.

64190016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (64190017) 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 23 ways as a sum of consecutive naturals, for example, 208935 + ... + 209241.

Almost surely, 2^64190016 is an apocalyptic number.

64190016 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 64190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104048560).

64190016 is an abundant number, since it is smaller than the sum of its proper divisors (143907104).

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

64190016 is a wasteful number, since it uses less digits than its factorization.

64190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 64190016 is about 8011.8671981006. The cubic root of 64190016 is about 400.3954755356.

The spelling of 64190016 in words is "sixty-four million, one hundred ninety thousand, sixteen".