823585920 has 64 divisors (see below), whose sum is σ = 2625186240. Its totient is φ = 219622400.

The previous prime is 823585891. The next prime is 823585933. The reversal of 823585920 is 29585328.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212556 + ... + 216395.

It is an arithmetic number, because the mean of its divisors is an integer number (41018535).

Almost surely, 2^823585920 is an apocalyptic number.

823585920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

823585920 is an abundant number, since it is smaller than the sum of its proper divisors (1801600320).

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

823585920 is a wasteful number, since it uses less digits than its factorization.

823585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428973 (or 428961 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 823585920 is about 28698.1867022988. The cubic root of 823585920 is about 937.3525627699.

The spelling of 823585920 in words is "eight hundred twenty-three million, five hundred eighty-five thousand, nine hundred twenty".