31124016 has 180 divisors, whose sum is σ = 110812104. Its totient is φ = 8064000.

The previous prime is 31124003. The next prime is 31124021. The reversal of 31124016 is 61042113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 31124016.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 77416 + ... + 77816.

Almost surely, 2^31124016 is an apocalyptic number.

31124016 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 31124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55406052).

31124016 is an abundant number, since it is smaller than the sum of its proper divisors (79688088).

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

31124016 is a wasteful number, since it uses less digits than its factorization.

31124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31124016 is about 5578.8902122196. The cubic root of 31124016 is about 314.5564126645.

Adding to 31124016 its reverse (61042113), we get a palindrome (92166129).

The spelling of 31124016 in words is "thirty-one million, one hundred twenty-four thousand, sixteen".