823927104 has 336 divisors, whose sum is σ = 3173089920. Its totient is φ = 197406720.

The previous prime is 823927099. The next prime is 823927133. The reversal of 823927104 is 401729328.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575862 + ... + 577290.

It is an arithmetic number, because the mean of its divisors is an integer number (9443720).

Almost surely, 2^823927104 is an apocalyptic number.

823927104 is a gapful number since it is divisible by the number (84) 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 823927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586544960).

823927104 is an abundant number, since it is smaller than the sum of its proper divisors (2349162816).

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

823927104 is a wasteful number, since it uses less digits than its factorization.

823927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 823927104 is about 28704.1304344863. The cubic root of 823927104 is about 937.4819828004.

The spelling of 823927104 in words is "eight hundred twenty-three million, nine hundred twenty-seven thousand, one hundred four".