31080672 has 144 divisors (see below), whose sum is σ = 104936832. Its totient is φ = 8864640.

The previous prime is 31080671. The next prime is 31080683. The reversal of 31080672 is 27608013.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31080671) 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, 54147 + ... + 54717.

It is an arithmetic number, because the mean of its divisors is an integer number (728728).

Almost surely, 2^31080672 is an apocalyptic number.

31080672 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 31080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468416).

31080672 is an abundant number, since it is smaller than the sum of its proper divisors (73856160).

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

31080672 is an equidigital number, since it uses as much as digits as its factorization.

31080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 31080672 is about 5575.0042152450. The cubic root of 31080672 is about 314.4103253995.

Adding to 31080672 its reverse (27608013), we get a palindrome (58688685).

The spelling of 31080672 in words is "thirty-one million, eighty thousand, six hundred seventy-two".