64012032 has 252 divisors, whose sum is σ = 223409200. Its totient is φ = 18289152.

The previous prime is 64012009. The next prime is 64012033. The reversal of 64012032 is 23021046.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64012032 is a `hidden beast` number, since 640 + 1 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 64011996 and 64012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64012033) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9144573 + ... + 9144579.

Almost surely, 2^64012032 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 64012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111704600).

64012032 is an abundant number, since it is smaller than the sum of its proper divisors (159397168).

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

64012032 is an frugal number, since it uses more digits than its factorization.

64012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64012032 is about 8000.7519646593. The cubic root of 64012032 is about 400.0250650960.

Adding to 64012032 its reverse (23021046), we get a palindrome (87033078).

The spelling of 64012032 in words is "sixty-four million, twelve thousand, thirty-two".