981630000 has 300 divisors, whose sum is σ = 3701377680. Its totient is φ = 241344000.

The previous prime is 981629993. The next prime is 981630007. The reversal of 981630000 is 36189.

It is an interprime number because it is at equal distance from previous prime (981629993) and next prime (981630007).

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (981630007) 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 59 ways as a sum of consecutive naturals, for example, 1169581 + ... + 1170419.

Almost surely, 2^981630000 is an apocalyptic number.

981630000 is a gapful number since it is divisible by the number (90) 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 981630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688840).

981630000 is an abundant number, since it is smaller than the sum of its proper divisors (2719747680).

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

981630000 is a wasteful number, since it uses less digits than its factorization.

981630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 981630000 is about 31330.9750885605. The cubic root of 981630000 is about 993.8387840457.

Adding to 981630000 its reverse (36189), we get a palindrome (981666189).

The spelling of 981630000 in words is "nine hundred eighty-one million, six hundred thirty thousand".