981813240 has 192 divisors, whose sum is σ = 3406160160. Its totient is φ = 244408320.

The previous prime is 981813199. The next prime is 981813247. The reversal of 981813240 is 42318189.

981813240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 981813195 and 981813204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981813247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837855 + ... + 839025.

Almost surely, 2^981813240 is an apocalyptic number.

981813240 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 981813240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703080080).

981813240 is an abundant number, since it is smaller than the sum of its proper divisors (2424346920).

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

981813240 is a wasteful number, since it uses less digits than its factorization.

981813240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 981813240 is about 31333.8992147482. The cubic root of 981813240 is about 993.9006198659.

The spelling of 981813240 in words is "nine hundred eighty-one million, eight hundred thirteen thousand, two hundred forty".