64314432 has 224 divisors, whose sum is σ = 233273600. Its totient is φ = 16920576.

The previous prime is 64314413. The next prime is 64314443. The reversal of 64314432 is 23441346.

64314432 is a `hidden beast` number, since 643 + 14 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 64314396 and 64314405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157044 + ... + 157452.

It is an arithmetic number, because the mean of its divisors is an integer number (1041400).

Almost surely, 2^64314432 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 64314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116636800).

64314432 is an abundant number, since it is smaller than the sum of its proper divisors (168959168).

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

64314432 is a wasteful number, since it uses less digits than its factorization.

64314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 64314432 is about 8019.6279215435. The cubic root of 64314432 is about 400.6539968044.

Adding to 64314432 its reverse (23441346), we get a palindrome (87755778).

It can be divided in two parts, 64314 and 432, that added together give a palindrome (64746).

The spelling of 64314432 in words is "sixty-four million, three hundred fourteen thousand, four hundred thirty-two".