31748960 has 96 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 11888640.

The previous prime is 31748957. The next prime is 31748971. The reversal of 31748960 is 6984713.

It is a super-2 number, since 2×31748960² = 2015992922163200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183434 + ... + 183606.

It is an arithmetic number, because the mean of its divisors is an integer number (833112).

Almost surely, 2^31748960 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 31748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989376).

31748960 is an abundant number, since it is smaller than the sum of its proper divisors (48229792).

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

31748960 is a wasteful number, since it uses less digits than its factorization.

31748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 31748960 is about 5634.6215489596. The cubic root of 31748960 is about 316.6478191306.

The spelling of 31748960 in words is "thirty-one million, seven hundred forty-eight thousand, nine hundred sixty".