31648032 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 9524736.

The previous prime is 31648027. The next prime is 31648039. The reversal of 31648032 is 23084613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 31647987 and 31648005.

It is not an unprimeable number, because it can be changed into a prime (31648039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295723 + ... + 295829.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^31648032 is an apocalyptic number.

31648032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31648032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

31648032 is an abundant number, since it is smaller than the sum of its proper divisors (67418208).

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

31648032 is a wasteful number, since it uses less digits than its factorization.

31648032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31648032 is about 5625.6583614720. The cubic root of 31648032 is about 316.3119282766.

The spelling of 31648032 in words is "thirty-one million, six hundred forty-eight thousand, thirty-two".