31271040 has 192 divisors, whose sum is σ = 110986200. Its totient is φ = 8110080.

The previous prime is 31271039. The next prime is 31271047. The reversal of 31271040 is 4017213.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 20142144 = 3336^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31271047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351316 + ... + 351404.

Almost surely, 2^31271040 is an apocalyptic number.

31271040 is a gapful number since it is divisible by the number (30) 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 31271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55493100).

31271040 is an abundant number, since it is smaller than the sum of its proper divisors (79715160).

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

31271040 is a wasteful number, since it uses less digits than its factorization.

31271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31271040 is about 5592.0515019088. The cubic root of 31271040 is about 315.0509365853.

Adding to 31271040 its reverse (4017213), we get a palindrome (35288253).

The spelling of 31271040 in words is "thirty-one million, two hundred seventy-one thousand, forty".