31047120 has 240 divisors, whose sum is σ = 116992512. Its totient is φ = 7326720.

The previous prime is 31047101. The next prime is 31047143. The reversal of 31047120 is 2174013.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 31047093 and 31047102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290107 + ... + 290213.

Almost surely, 2^31047120 is an apocalyptic number.

31047120 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 31047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

31047120 is an abundant number, since it is smaller than the sum of its proper divisors (85945392).

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

31047120 is a wasteful number, since it uses less digits than its factorization.

31047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31047120 is about 5571.9942569963. The cubic root of 31047120 is about 314.2971479508.

The spelling of 31047120 in words is "thirty-one million, forty-seven thousand, one hundred twenty".