31789680 has 160 divisors (see below), whose sum is σ = 110992896. Its totient is φ = 7468032.

The previous prime is 31789669. The next prime is 31789687. The reversal of 31789680 is 8698713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31789687) by changing a digit.

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, 71539 + ... + 71981.

Almost surely, 2^31789680 is an apocalyptic number.

31789680 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 31789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448).

31789680 is an abundant number, since it is smaller than the sum of its proper divisors (79203216).

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

31789680 is a wasteful number, since it uses less digits than its factorization.

31789680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 31789680 is about 5638.2337659945. The cubic root of 31789680 is about 316.7831347516.

The spelling of 31789680 in words is "thirty-one million, seven hundred eighty-nine thousand, six hundred eighty".