31293648 has 80 divisors (see below), whose sum is σ = 90797760. Its totient is φ = 10318464.

The previous prime is 31293611. The next prime is 31293649. The reversal of 31293648 is 84639213.

31293648 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31293649) 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 15 ways as a sum of consecutive naturals, for example, 45886 + ... + 46562.

It is an arithmetic number, because the mean of its divisors is an integer number (1134972).

Almost surely, 2^31293648 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 31293648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45398880).

31293648 is an abundant number, since it is smaller than the sum of its proper divisors (59504112).

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

31293648 is a wasteful number, since it uses less digits than its factorization.

31293648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 31293648 is about 5594.0725772911. The cubic root of 31293648 is about 315.1268423411.

The spelling of 31293648 in words is "thirty-one million, two hundred ninety-three thousand, six hundred forty-eight".