820014208 has 64 divisors (see below), whose sum is σ = 1820057400. Its totient is φ = 365395968.

The previous prime is 820014203. The next prime is 820014211. The reversal of 820014208 is 802410028.

It can be written as a sum of positive squares in 4 ways, for example, as 416486464 + 403527744 = 20408^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (820014203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39760 + ... + 56752.

Almost surely, 2^820014208 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 820014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910028700).

820014208 is an abundant number, since it is smaller than the sum of its proper divisors (1000043192).

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

820014208 is a wasteful number, since it uses less digits than its factorization.

820014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17049 (or 17037 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 820014208 is about 28635.8902079192. The cubic root of 820014208 is about 935.9955681968.

The spelling of 820014208 in words is "eight hundred twenty million, fourteen thousand, two hundred eight".