932138064 has 320 divisors, whose sum is σ = 3199795200. Its totient is φ = 256089600.

The previous prime is 932138063. The next prime is 932138093. The reversal of 932138064 is 460831239.

932138064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (932138063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4880209 + ... + 4880399.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^932138064 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 932138064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599897600).

932138064 is an abundant number, since it is smaller than the sum of its proper divisors (2267657136).

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

932138064 is a wasteful number, since it uses less digits than its factorization.

932138064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 932138064 is about 30530.9361795540. The cubic root of 932138064 is about 976.8474510450.

The spelling of 932138064 in words is "nine hundred thirty-two million, one hundred thirty-eight thousand, sixty-four".