981233820 has 288 divisors, whose sum is σ = 3627187200. Its totient is φ = 214220160.

The previous prime is 981233783. The next prime is 981233831. The reversal of 981233820 is 28332189.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419675 + ... + 1420365.

It is an arithmetic number, because the mean of its divisors is an integer number (12594400).

Almost surely, 2^981233820 is an apocalyptic number.

981233820 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 981233820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813593600).

981233820 is an abundant number, since it is smaller than the sum of its proper divisors (2645953380).

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

981233820 is a wasteful number, since it uses less digits than its factorization.

981233820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 981233820 is about 31324.6519533737. The cubic root of 981233820 is about 993.7050635905.

The spelling of 981233820 in words is "nine hundred eighty-one million, two hundred thirty-three thousand, eight hundred twenty".