821696000 has 160 divisors (see below), whose sum is σ = 2110391712. Its totient is φ = 318873600.

The previous prime is 821695949. The next prime is 821696011. The reversal of 821696000 is 696128.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367827 + ... + 2368173.

Almost surely, 2^821696000 is an apocalyptic number.

821696000 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 821696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055195856).

821696000 is an abundant number, since it is smaller than the sum of its proper divisors (1288695712).

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

821696000 is an equidigital number, since it uses as much as digits as its factorization.

821696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 821696000 is about 28665.2402745904. The cubic root of 821696000 is about 936.6350184692.

The spelling of 821696000 in words is "eight hundred twenty-one million, six hundred ninety-six thousand".