31664160 has 144 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 7672320.

The previous prime is 31664071. The next prime is 31664167. The reversal of 31664160 is 6146613.

31664160 is a `hidden beast` number, since 3 + 16 + 641 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31664167) 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, 14841 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^31664160 is an apocalyptic number.

31664160 is a gapful number since it is divisible by the number (30) 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 31664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

31664160 is an abundant number, since it is smaller than the sum of its proper divisors (86271840).

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

31664160 is a wasteful number, since it uses less digits than its factorization.

31664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31664160 is about 5627.0916111256. The cubic root of 31664160 is about 316.3656505475.

The spelling of 31664160 in words is "thirty-one million, six hundred sixty-four thousand, one hundred sixty".