30731680 has 96 divisors (see below), whose sum is σ = 86655744. Its totient is φ = 10070016.

The previous prime is 30731669. The next prime is 30731689. The reversal of 30731680 is 8613703.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (30731689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25164 + ... + 26356.

It is an arithmetic number, because the mean of its divisors is an integer number (902664).

Almost surely, 2^30731680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43327872).

30731680 is an abundant number, since it is smaller than the sum of its proper divisors (55924064).

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

30731680 is a wasteful number, since it uses less digits than its factorization.

30731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 30731680 is about 5543.6161483277. The cubic root of 30731680 is about 313.2290986721.

It can be divided in two parts, 3073 and 1680, that added together give a triangular number (4753 = T₉₇).

The spelling of 30731680 in words is "thirty million, seven hundred thirty-one thousand, six hundred eighty".