982767240 has 384 divisors, whose sum is σ = 3978374400. Its totient is φ = 204871680.

The previous prime is 982767223. The next prime is 982767251. The reversal of 982767240 is 42767289.

982767240 is digitally balanced in base 2, 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 (45).

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, 4291446 + ... + 4291674.

It is an arithmetic number, because the mean of its divisors is an integer number (10360350).

Almost surely, 2^982767240 is an apocalyptic number.

982767240 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 982767240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989187200).

982767240 is an abundant number, since it is smaller than the sum of its proper divisors (2995607160).

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

982767240 is a wasteful number, since it uses less digits than its factorization.

982767240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 982767240 is about 31349.1186478982. The cubic root of 982767240 is about 994.2224306447. Note that the first 3 decimals are identical.

The spelling of 982767240 in words is "nine hundred eighty-two million, seven hundred sixty-seven thousand, two hundred forty".