820463616 has 144 divisors (see below), whose sum is σ = 2708596800. Its totient is φ = 234381312.

The previous prime is 820463591. The next prime is 820463627. The reversal of 820463616 is 616364028.

820463616 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125845 + ... + 132203.

It is an arithmetic number, because the mean of its divisors is an integer number (18809700).

Almost surely, 2^820463616 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 820463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354298400).

820463616 is an abundant number, since it is smaller than the sum of its proper divisors (1888133184).

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

820463616 is a wasteful number, since it uses less digits than its factorization.

820463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 820463616 is about 28643.7360691653. The cubic root of 820463616 is about 936.1665274603.

The spelling of 820463616 in words is "eight hundred twenty million, four hundred sixty-three thousand, six hundred sixteen".