823980240 has 60 divisors (see below), whose sum is σ = 2767202724. Its totient is φ = 219727872.

The previous prime is 823980181. The next prime is 823980247. The reversal of 823980240 is 42089328.

It can be written as a sum of positive squares in 2 ways, for example, as 585833616 + 238146624 = 24204^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 823980195 and 823980204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823980247) 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 11 ways as a sum of consecutive naturals, for example, 571489 + ... + 572928.

Almost surely, 2^823980240 is an apocalyptic number.

823980240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823980240 is an abundant number, since it is smaller than the sum of its proper divisors (1943222484).

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

823980240 is a wasteful number, since it uses less digits than its factorization.

823980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144436 (or 1144427 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 823980240 is about 28705.0560006421. The cubic root of 823980240 is about 937.5021354618.

The spelling of 823980240 in words is "eight hundred twenty-three million, nine hundred eighty thousand, two hundred forty".