821201568 has 96 divisors (see below), whose sum is σ = 2453939712. Its totient is φ = 238022400.

The previous prime is 821201561. The next prime is 821201629. The reversal of 821201568 is 865102128.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (821201561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7383 + ... + 41193.

It is an arithmetic number, because the mean of its divisors is an integer number (25561872).

Almost surely, 2^821201568 is an apocalyptic number.

821201568 is a gapful number since it is divisible by the number (88) 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 821201568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226969856).

821201568 is an abundant number, since it is smaller than the sum of its proper divisors (1632738144).

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

821201568 is a wasteful number, since it uses less digits than its factorization.

821201568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33858 (or 33850 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 821201568 is about 28656.6147337748. The cubic root of 821201568 is about 936.4471163567.

The spelling of 821201568 in words is "eight hundred twenty-one million, two hundred one thousand, five hundred sixty-eight".