31408608 has 144 divisors (see below), whose sum is σ = 104799744. Its totient is φ = 8144640.

The previous prime is 31408607. The next prime is 31408631. The reversal of 31408608 is 80680413.

It is a happy number.

It is a super-3 number, since 3×31408608³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31408607) 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 23 ways as a sum of consecutive naturals, for example, 51441 + ... + 52047.

It is an arithmetic number, because the mean of its divisors is an integer number (727776).

Almost surely, 2^31408608 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 31408608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52399872).

31408608 is an abundant number, since it is smaller than the sum of its proper divisors (73391136).

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

31408608 is a wasteful number, since it uses less digits than its factorization.

31408608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 31408608 is about 5604.3383195521. The cubic root of 31408608 is about 315.5122529426.

The spelling of 31408608 in words is "thirty-one million, four hundred eight thousand, six hundred eight".