31840128 has 160 divisors (see below), whose sum is σ = 98489160. Its totient is φ = 10202112.

The previous prime is 31840093. The next prime is 31840129. The reversal of 31840128 is 82104813.

31840128 is nontrivially palindromic in base 11.

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 (31840129) 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 19 ways as a sum of consecutive naturals, for example, 383575 + ... + 383657.

Almost surely, 2^31840128 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 31840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49244580).

31840128 is an abundant number, since it is smaller than the sum of its proper divisors (66649032).

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

31840128 is an equidigital number, since it uses as much as digits as its factorization.

31840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 31840128 is about 5642.7057339542. The cubic root of 31840128 is about 316.9506170856.

The spelling of 31840128 in words is "thirty-one million, eight hundred forty thousand, one hundred twenty-eight".