31704672 has 96 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 9929216.

The previous prime is 31704637. The next prime is 31704679. The reversal of 31704672 is 27640713.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31704679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183178 + ... + 183350.

It is an arithmetic number, because the mean of its divisors is an integer number (920808).

Almost surely, 2^31704672 is an apocalyptic number.

31704672 is a gapful number since it is divisible by the number (32) 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 31704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

31704672 is an abundant number, since it is smaller than the sum of its proper divisors (56692896).

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

31704672 is a wasteful number, since it uses less digits than its factorization.

31704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 31704672 is about 5630.6901886003. The cubic root of 31704672 is about 316.5005153614.

The spelling of 31704672 in words is "thirty-one million, seven hundred four thousand, six hundred seventy-two".