31044000 has 192 divisors, whose sum is σ = 110073600. Its totient is φ = 7603200.

The previous prime is 31043993. The next prime is 31044019. The reversal of 31044000 is 44013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 155901 + ... + 156099.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^31044000 is an apocalyptic number.

31044000 is a gapful number since it is divisible by the number (30) 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 31044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

31044000 is an abundant number, since it is smaller than the sum of its proper divisors (79029600).

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

31044000 is a wasteful number, since it uses less digits than its factorization.

31044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31044000 is about 5571.7142783887. The cubic root of 31044000 is about 314.2866194386.

Adding to 31044000 its reverse (44013), we get a palindrome (31088013).

The spelling of 31044000 in words is "thirty-one million, forty-four thousand".