31306680 has 192 divisors, whose sum is σ = 112320000. Its totient is φ = 7527168.

The previous prime is 31306663. The next prime is 31306697. The reversal of 31306680 is 8660313.

It is an interprime number because it is at equal distance from previous prime (31306663) and next prime (31306697).

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, 157221 + ... + 157419.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 2^31306680 is an apocalyptic number.

31306680 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 31306680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160000).

31306680 is an abundant number, since it is smaller than the sum of its proper divisors (81013320).

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

31306680 is a wasteful number, since it uses less digits than its factorization.

31306680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31306680 is about 5595.2372603849. The cubic root of 31306680 is about 315.1705803234.

Adding to 31306680 its reverse (8660313), we get a palindrome (39966993).

The spelling of 31306680 in words is "thirty-one million, three hundred six thousand, six hundred eighty".