84808400 has 60 divisors (see below), whose sum is σ = 214495200. Its totient is φ = 32135040.

The previous prime is 84808397. The next prime is 84808439. The reversal of 84808400 is 480848.

It is a congruent number.

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, 2021 + ... + 13179.

It is an arithmetic number, because the mean of its divisors is an integer number (3574920).

Almost surely, 2^84808400 is an apocalyptic number.

84808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107247600).

84808400 is an abundant number, since it is smaller than the sum of its proper divisors (129686800).

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

84808400 is a wasteful number, since it uses less digits than its factorization.

84808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11196 (or 11185 counting only the distinct ones).

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

The square root of 84808400 is about 9209.1476261378. The cubic root of 84808400 is about 439.3523529649.

The spelling of 84808400 in words is "eighty-four million, eight hundred eight thousand, four hundred".