821036736 has 336 divisors, whose sum is σ = 2733739008. Its totient is φ = 242611200.

The previous prime is 821036707. The next prime is 821036761. The reversal of 821036736 is 637630128.

It is a happy number.

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 821036736.

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, 6267391 + ... + 6267521.

It is an arithmetic number, because the mean of its divisors is an integer number (8136128).

Almost surely, 2^821036736 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 821036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366869504).

821036736 is an abundant number, since it is smaller than the sum of its proper divisors (1912702272).

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

821036736 is a wasteful number, since it uses less digits than its factorization.

821036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 821036736 is about 28653.7386042380. The cubic root of 821036736 is about 936.3844574490.

The spelling of 821036736 in words is "eight hundred twenty-one million, thirty-six thousand, seven hundred thirty-six".