981630 has 48 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 241344.

The previous prime is 981623. The next prime is 981637. The reversal of 981630 is 36189.

It is an interprime number because it is at equal distance from previous prime (981623) and next prime (981637).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 981594 and 981603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981637) by changing a digit.

981630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2⁹⁸¹⁶³⁰ is an apocalyptic number.

981630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 981630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

981630 is an abundant number, since it is smaller than the sum of its proper divisors (1770210).

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

981630 is a wasteful number, since it uses less digits than its factorization.

981630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

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

The square root of 981630 is about 990.7724259385. The cubic root of 981630 is about 99.3838784046.

It can be divided in two parts, 98 and 1630, that added together give a cube (1728 = 12³).

The spelling of 981630 in words is "nine hundred eighty-one thousand, six hundred thirty".