31087680 has 224 divisors, whose sum is σ = 110605824. Its totient is φ = 7348224.

The previous prime is 31087669. The next prime is 31087709. The reversal of 31087680 is 8678013.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586534 + ... + 586586.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^31087680 is an apocalyptic number.

31087680 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 31087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

31087680 is an abundant number, since it is smaller than the sum of its proper divisors (79518144).

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

31087680 is a wasteful number, since it uses less digits than its factorization.

31087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 31087680 is about 5575.6326995239. The cubic root of 31087680 is about 314.4339544679.

It can be divided in two parts, 310 and 87680, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 31087680 in words is "thirty-one million, eighty-seven thousand, six hundred eighty".