31412016 has 160 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 9580032.

The previous prime is 31411999. The next prime is 31412023. The reversal of 31412016 is 61021413.

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 31412016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352900 + ... + 352988.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^31412016 is an apocalyptic number.

31412016 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 31412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

31412016 is an abundant number, since it is smaller than the sum of its proper divisors (66795984).

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

31412016 is a wasteful number, since it uses less digits than its factorization.

31412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

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

The square root of 31412016 is about 5604.6423614714. The cubic root of 31412016 is about 315.5236641123.

Adding to 31412016 its reverse (61021413), we get a palindrome (92433429).

The spelling of 31412016 in words is "thirty-one million, four hundred twelve thousand, sixteen".