823415040 has 216 divisors, whose sum is σ = 3256239168. Its totient is φ = 188190720.

The previous prime is 823415039. The next prime is 823415069. The reversal of 823415040 is 40514328.

It is a junction number, because it is equal to n+sod(n) for n = 823414995 and 823415013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75535 + ... + 85745.

Almost surely, 2^823415040 is an apocalyptic number.

823415040 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 823415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628119584).

823415040 is an abundant number, since it is smaller than the sum of its proper divisors (2432824128).

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

823415040 is a wasteful number, since it uses less digits than its factorization.

823415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 823415040 is about 28695.2093562671. The cubic root of 823415040 is about 937.2877300745.

Adding to 823415040 its reverse (40514328), we get a palindrome (863929368).

The spelling of 823415040 in words is "eight hundred twenty-three million, four hundred fifteen thousand, forty".