31327296 has 224 divisors, whose sum is σ = 111971328. Its totient is φ = 7464960.

The previous prime is 31327291. The next prime is 31327297. The reversal of 31327296 is 69272313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31327291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192111 + ... + 192273.

It is an arithmetic number, because the mean of its divisors is an integer number (499872).

Almost surely, 2^31327296 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 31327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55985664).

31327296 is an abundant number, since it is smaller than the sum of its proper divisors (80644032).

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

31327296 is a wasteful number, since it uses less digits than its factorization.

31327296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 31327296 is about 5597.0792383171. The cubic root of 31327296 is about 315.2397469352.

The spelling of 31327296 in words is "thirty-one million, three hundred twenty-seven thousand, two hundred ninety-six".