31020084960 has 192 divisors, whose sum is σ = 103931154432. Its totient is φ = 7750066176.

The previous prime is 31020084941. The next prime is 31020084967. The reversal of 31020084960 is 6948002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020084967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811157 + ... + 1828203.

It is an arithmetic number, because the mean of its divisors is an integer number (541308096).

Almost surely, 2^31020084960 is an apocalyptic number.

31020084960 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 31020084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51965577216).

31020084960 is an abundant number, since it is smaller than the sum of its proper divisors (72911069472).

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

31020084960 is a wasteful number, since it uses less digits than its factorization.

31020084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17305 (or 17297 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 31020084960 its reverse (6948002013), we get a palindrome (37968086973).

The spelling of 31020084960 in words is "thirty-one billion, twenty million, eighty-four thousand, nine hundred sixty".