31980000 has 240 divisors, whose sum is σ = 115725456. Its totient is φ = 7680000.

The previous prime is 31979963. The next prime is 31980001. The reversal of 31980000 is 8913.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31980001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779980 + ... + 780020.

Almost surely, 2^31980000 is an apocalyptic number.

31980000 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 31980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57862728).

31980000 is an abundant number, since it is smaller than the sum of its proper divisors (83745456).

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

31980000 is a wasteful number, since it uses less digits than its factorization.

31980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 31980000 is about 5655.0862062395. The cubic root of 31980000 is about 317.4140548988.

Adding to 31980000 its reverse (8913), we get a palindrome (31988913).

The spelling of 31980000 in words is "thirty-one million, nine hundred eighty thousand".