84004906896 has 225 divisors, whose sum is σ = 248662458561. Its totient is φ = 27379067904.

The previous prime is 84004906849. The next prime is 84004906897. The reversal of 84004906896 is 69860940048.

The square root of 84004906896 is 289836.

It is a perfect power (a square), and thus also a powerful number.

84004906896 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 490 + 68 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37721408400 + 46283498496 = 194220^2 + 215136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84004906897) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 866029920 + ... + 866030016.

Almost surely, 2^84004906896 is an apocalyptic number.

84004906896 is the 289836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84004906896

84004906896 is an abundant number, since it is smaller than the sum of its proper divisors (164657551665).

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

84004906896 is an frugal number, since it uses more digits than its factorization.

84004906896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 84004906896 in words is "eighty-four billion, four million, nine hundred six thousand, eight hundred ninety-six".