31768950 has 96 divisors (see below), whose sum is σ = 84637440. Its totient is φ = 7862400.

The previous prime is 31768927. The next prime is 31768951. The reversal of 31768950 is 5986713.

It is a junction number, because it is equal to n+sod(n) for n = 31768899 and 31768908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31768951) 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 47 ways as a sum of consecutive naturals, for example, 202272 + ... + 202428.

It is an arithmetic number, because the mean of its divisors is an integer number (881640).

Almost surely, 2^31768950 is an apocalyptic number.

31768950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31768950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42318720).

31768950 is an abundant number, since it is smaller than the sum of its proper divisors (52868490).

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

31768950 is a wasteful number, since it uses less digits than its factorization.

31768950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 31768950 is about 5636.3951245455. The cubic root of 31768950 is about 316.7142618519.

The spelling of 31768950 in words is "thirty-one million, seven hundred sixty-eight thousand, nine hundred fifty".