84490800 has 120 divisors (see below), whose sum is σ = 272847120. Its totient is φ = 22348800.

The previous prime is 84490793. The next prime is 84490801. The reversal of 84490800 is 809448.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (84490801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217006 + ... + 217394.

It is an arithmetic number, because the mean of its divisors is an integer number (2273726).

Almost surely, 2^84490800 is an apocalyptic number.

84490800 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 84490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136423560).

84490800 is an abundant number, since it is smaller than the sum of its proper divisors (188356320).

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

84490800 is a wasteful number, since it uses less digits than its factorization.

84490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84490800 is about 9191.8877277739. The cubic root of 84490800 is about 438.8032216020.

The spelling of 84490800 in words is "eighty-four million, four hundred ninety thousand, eight hundred".