31347648 has 70 divisors (see below), whose sum is σ = 92939616. Its totient is φ = 10447488.

The previous prime is 31347647. The next prime is 31347649. The reversal of 31347648 is 84674313.

31347648 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (31347647) and next prime (31347649).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31347647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2161 + ... + 8207.

Almost surely, 2^31347648 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 31347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469808).

31347648 is an abundant number, since it is smaller than the sum of its proper divisors (61591968).

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

31347648 is an equidigital number, since it uses as much as digits as its factorization.

31347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6052 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 31347648 is about 5598.8970342381. The cubic root of 31347648 is about 315.3079980698.

It can be divided in two parts, 313 and 47648, that added together give a square (47961 = 219²).

The spelling of 31347648 in words is "thirty-one million, three hundred forty-seven thousand, six hundred forty-eight".