31098144 has 144 divisors (see below), whose sum is σ = 103765536. Its totient is φ = 8064000.

The previous prime is 31098127. The next prime is 31098173. The reversal of 31098144 is 44189013.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51444 + ... + 52044.

It is an arithmetic number, because the mean of its divisors is an integer number (720594).

Almost surely, 2^31098144 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 31098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51882768).

31098144 is an abundant number, since it is smaller than the sum of its proper divisors (72667392).

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

31098144 is a wasteful number, since it uses less digits than its factorization.

31098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 31098144 is about 5576.5709894163. The cubic root of 31098144 is about 314.4692296188.

The spelling of 31098144 in words is "thirty-one million, ninety-eight thousand, one hundred forty-four".