84488800 has 72 divisors (see below), whose sum is σ = 225032472. Its totient is φ = 30720000.

The previous prime is 84488791. The next prime is 84488819. The reversal of 84488800 is 888448.

It is a super-3 number, since 3×84488800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 4000 + ... + 13600.

It is an arithmetic number, because the mean of its divisors is an integer number (3125451).

Almost surely, 2^84488800 is an apocalyptic number.

84488800 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 84488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112516236).

84488800 is an abundant number, since it is smaller than the sum of its proper divisors (140543672).

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

84488800 is a wasteful number, since it uses less digits than its factorization.

84488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9632 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 84488800 is about 9191.7789355489. The cubic root of 84488800 is about 438.7997592394.

It can be divided in two parts, 84 and 488800, that added together give a palindrome (488884).

The spelling of 84488800 in words is "eighty-four million, four hundred eighty-eight thousand, eight hundred".