31438960 has 80 divisors (see below), whose sum is σ = 86280192. Its totient is φ = 10425600.

The previous prime is 31438909. The next prime is 31438963. The reversal of 31438960 is 6983413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16455 + ... + 18265.

Almost surely, 2^31438960 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 31438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43140096).

31438960 is an abundant number, since it is smaller than the sum of its proper divisors (54841232).

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

31438960 is a wasteful number, since it uses less digits than its factorization.

31438960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 31438960 is about 5607.0455678548. The cubic root of 31438960 is about 315.6138529540.

The spelling of 31438960 in words is "thirty-one million, four hundred thirty-eight thousand, nine hundred sixty".