8400008084 has 24 divisors (see below), whose sum is σ = 15838062240. Its totient is φ = 3875144544.

The previous prime is 8400008081. The next prime is 8400008101. The reversal of 8400008084 is 4808000048.

It is a super-2 number, since 2×8400008084² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8400008084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400008081) 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, 80627 + ... + 152645.

It is an arithmetic number, because the mean of its divisors is an integer number (659919260).

Almost surely, 2^8400008084 is an apocalyptic number.

It is an amenable number.

8400008084 is a deficient number, since it is larger than the sum of its proper divisors (7438054156).

8400008084 is a wasteful number, since it uses less digits than its factorization.

8400008084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74279 (or 74277 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8400008084 is about 91651.5580009418. The cubic root of 8400008084 is about 2032.7933657365.

The spelling of 8400008084 in words is "eight billion, four hundred million, eight thousand, eighty-four".