820506416 has 40 divisors (see below), whose sum is σ = 1666869504. Its totient is φ = 390519360.

The previous prime is 820506383. The next prime is 820506443. The reversal of 820506416 is 614605028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72365 + ... + 82931.

Almost surely, 2^820506416 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 820506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833434752).

820506416 is an abundant number, since it is smaller than the sum of its proper divisors (846363088).

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

820506416 is a wasteful number, since it uses less digits than its factorization.

820506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 820506416 is about 28644.4831686662. The cubic root of 820506416 is about 936.1828057490.

The spelling of 820506416 in words is "eight hundred twenty million, five hundred six thousand, four hundred sixteen".