31444416 has 112 divisors (see below), whose sum is σ = 95585280. Its totient is φ = 10126080.

The previous prime is 31444403. The next prime is 31444453. The reversal of 31444416 is 61444413.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31444416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53275 + ... + 53861.

It is an arithmetic number, because the mean of its divisors is an integer number (853440).

Almost surely, 2^31444416 is an apocalyptic number.

31444416 is a gapful number since it is divisible by the number (36) 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 31444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792640).

31444416 is an abundant number, since it is smaller than the sum of its proper divisors (64140864).

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

31444416 is a wasteful number, since it uses less digits than its factorization.

31444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 31444416 is about 5607.5320774829. The cubic root of 31444416 is about 315.6321093847.

Adding to 31444416 its reverse (61444413), we get a palindrome (92888829).

The spelling of 31444416 in words is "thirty-one million, four hundred forty-four thousand, four hundred sixteen".