8400084 has 48 divisors (see below), whose sum is σ = 24439296. Its totient is φ = 2181600.

The previous prime is 8400079. The next prime is 8400097. The reversal of 8400084 is 4800048.

8400084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8400084² = 141122822414112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (509152).

Almost surely, 2^8400084 is an apocalyptic number.

8400084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8400084 is an abundant number, since it is smaller than the sum of its proper divisors (16039212).

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

8400084 is a wasteful number, since it uses less digits than its factorization.

8400084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8400084 is about 2898.2898405784. The cubic root of 8400084 is about 203.2799489583.

The spelling of 8400084 in words is "eight million, four hundred thousand, eighty-four".