823431840 has 192 divisors, whose sum is σ = 3233986560. Its totient is φ = 171095040.

The previous prime is 823431821. The next prime is 823431857. The reversal of 823431840 is 48134328.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25821 + ... + 48099.

It is an arithmetic number, because the mean of its divisors is an integer number (16843680).

Almost surely, 2^823431840 is an apocalyptic number.

823431840 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 823431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616993280).

823431840 is an abundant number, since it is smaller than the sum of its proper divisors (2410554720).

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

823431840 is a wasteful number, since it uses less digits than its factorization.

823431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22315 (or 22307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 823431840 is about 28695.5020865640. The cubic root of 823431840 is about 937.2941044730.

The spelling of 823431840 in words is "eight hundred twenty-three million, four hundred thirty-one thousand, eight hundred forty".