821007936 has 252 divisors, whose sum is σ = 2883438480. Its totient is φ = 222082560.

The previous prime is 821007923. The next prime is 821007959. The reversal of 821007936 is 639700128.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 821007936.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535491 + ... + 537021.

Almost surely, 2^821007936 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 821007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441719240).

821007936 is an abundant number, since it is smaller than the sum of its proper divisors (2062430544).

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

821007936 is a wasteful number, since it uses less digits than its factorization.

821007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 821007936 is about 28653.2360476090. The cubic root of 821007936 is about 936.3735086138.

The spelling of 821007936 in words is "eight hundred twenty-one million, seven thousand, nine hundred thirty-six".