823247040 has 672 divisors, whose sum is σ = 3485839104. Its totient is φ = 162570240.

The previous prime is 823246993. The next prime is 823247069. The reversal of 823247040 is 40742328.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 823246989 and 823247007.

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, 19145259 + ... + 19145301.

Almost surely, 2^823247040 is an apocalyptic number.

823247040 is a gapful number since it is divisible by the number (80) 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 823247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742919552).

823247040 is an abundant number, since it is smaller than the sum of its proper divisors (2662592064).

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

823247040 is a wasteful number, since it uses less digits than its factorization.

823247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 823247040 is about 28692.2818890377. The cubic root of 823247040 is about 937.2239813204.

Adding to 823247040 its reverse (40742328), we get a palindrome (863989368).

The spelling of 823247040 in words is "eight hundred twenty-three million, two hundred forty-seven thousand, forty".