31468320 has 216 divisors, whose sum is σ = 118535508. Its totient is φ = 7557120.

The previous prime is 31468319. The next prime is 31468331. The reversal of 31468320 is 2386413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 31404816 = 252^2 + 5604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 767500 + ... + 767540.

Almost surely, 2^31468320 is an apocalyptic number.

31468320 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 31468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59267754).

31468320 is an abundant number, since it is smaller than the sum of its proper divisors (87067188).

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

31468320 is a wasteful number, since it uses less digits than its factorization.

31468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31468320 is about 5609.6630914878. The cubic root of 31468320 is about 315.7120701519.

The spelling of 31468320 in words is "thirty-one million, four hundred sixty-eight thousand, three hundred twenty".