823494240 has 72 divisors (see below), whose sum is σ = 2810179008. Its totient is φ = 219598080.

The previous prime is 823494233. The next prime is 823494293. The reversal of 823494240 is 42494328.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 823494195 and 823494204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284496 + ... + 287375.

It is an arithmetic number, because the mean of its divisors is an integer number (39030264).

Almost surely, 2^823494240 is an apocalyptic number.

823494240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823494240 is an abundant number, since it is smaller than the sum of its proper divisors (1986684768).

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

823494240 is a wasteful number, since it uses less digits than its factorization.

823494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571892 (or 571881 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 823494240 is about 28696.5893443803. The cubic root of 823494240 is about 937.3177800512.

The spelling of 823494240 in words is "eight hundred twenty-three million, four hundred ninety-four thousand, two hundred forty".