64312416 has 288 divisors, whose sum is σ = 232727040. Its totient is φ = 16422912.

The previous prime is 64312357. The next prime is 64312421. The reversal of 64312416 is 61421346.

64312416 is a `hidden beast` number, since 643 + 1 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 64312416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880956 + ... + 881028.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 2^64312416 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 64312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

64312416 is an abundant number, since it is smaller than the sum of its proper divisors (168414624).

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

64312416 is a wasteful number, since it uses less digits than its factorization.

64312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64312416 is about 8019.5022289416. The cubic root of 64312416 is about 400.6498104609.

The spelling of 64312416 in words is "sixty-four million, three hundred twelve thousand, four hundred sixteen".