821587968 has 416 divisors, whose sum is σ = 2830809600. Its totient is φ = 233570304.

The previous prime is 821587961. The next prime is 821587979. The reversal of 821587968 is 869785128.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1935360) is a multiple of the sum of its prime divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821587961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35721205 + ... + 35721227.

Almost surely, 2^821587968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415404800).

821587968 is an abundant number, since it is smaller than the sum of its proper divisors (2009221632).

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

821587968 is a wasteful number, since it uses less digits than its factorization.

821587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 821587968 is about 28663.3558398175. The cubic root of 821587968 is about 936.5939688234.

The spelling of 821587968 in words is "eight hundred twenty-one million, five hundred eighty-seven thousand, nine hundred sixty-eight".