821270016 has 480 divisors, whose sum is σ = 3002807808. Its totient is φ = 218972160.

The previous prime is 821269991. The next prime is 821270063. The reversal of 821270016 is 610072128.

821270016 = 48³ + 49³ + ... + 239³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 20030956 + ... + 20030996.

Almost surely, 2^821270016 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 821270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

821270016 is an abundant number, since it is smaller than the sum of its proper divisors (2181537792).

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

821270016 is an equidigital number, since it uses as much as digits as its factorization.

821270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 821270016 is about 28657.8089881275. The cubic root of 821270016 is about 936.4731335790.

The spelling of 821270016 in words is "eight hundred twenty-one million, two hundred seventy thousand, sixteen".