64129436 has 54 divisors (see below), whose sum is σ = 134734320. Its totient is φ = 26629344.

The previous prime is 64129433. The next prime is 64129447. The reversal of 64129436 is 63492146.

64129436 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-2 number, since 2×64129436² = 8225169123356192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64129396 and 64129405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64129433) 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 17 ways as a sum of consecutive naturals, for example, 268205 + ... + 268443.

It is an arithmetic number, because the mean of its divisors is an integer number (2495080).

Almost surely, 2^64129436 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 64129436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67367160).

64129436 is an abundant number, since it is smaller than the sum of its proper divisors (70604884).

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

64129436 is a wasteful number, since it uses less digits than its factorization.

64129436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 285 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 64129436 is about 8008.0856638775. The cubic root of 64129436 is about 400.2694767483.

The spelling of 64129436 in words is "sixty-four million, one hundred twenty-nine thousand, four hundred thirty-six".