64125632 has 42 divisors (see below), whose sum is σ = 135213852. Its totient is φ = 30168064.

The previous prime is 64125631. The next prime is 64125647. The reversal of 64125632 is 23652146.

64125632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64125632³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 64125595 and 64125604.

It is not an unprimeable number, because it can be changed into a prime (64125631) 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 5 ways as a sum of consecutive naturals, for example, 16763 + ... + 20229.

Almost surely, 2^64125632 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 64125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606926).

64125632 is an abundant number, since it is smaller than the sum of its proper divisors (71088220).

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

64125632 is a wasteful number, since it uses less digits than its factorization.

64125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3486 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 64125632 is about 8007.8481504084. The cubic root of 64125632 is about 400.2615622590.

Adding to 64125632 its reverse (23652146), we get a palindrome (87777778).

The spelling of 64125632 in words is "sixty-four million, one hundred twenty-five thousand, six hundred thirty-two".