64214112 has 48 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 21144192.

The previous prime is 64214107. The next prime is 64214131. The reversal of 64214112 is 21141246.

It is a happy number.

64214112 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 3939 + ... + 11997.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^64214112 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 64214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

64214112 is an abundant number, since it is smaller than the sum of its proper divisors (106399968).

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

64214112 is a wasteful number, since it uses less digits than its factorization.

64214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8147 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 64214112 is about 8013.3708263127. The cubic root of 64214112 is about 400.4455701505.

Adding to 64214112 its reverse (21141246), we get a palindrome (85355358).

The spelling of 64214112 in words is "sixty-four million, two hundred fourteen thousand, one hundred twelve".