84148800 has 168 divisors, whose sum is σ = 282708096. Its totient is φ = 21903360.

The previous prime is 84148751. The next prime is 84148811. The reversal of 84148800 is 884148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225414 + ... + 225786.

Almost surely, 2^84148800 is an apocalyptic number.

84148800 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 84148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141354048).

84148800 is an abundant number, since it is smaller than the sum of its proper divisors (198559296).

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

84148800 is a wasteful number, since it uses less digits than its factorization.

84148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 84148800 is about 9173.2655036252. The cubic root of 84148800 is about 438.2103616194.

It can be divided in two parts, 84148 and 800, that added together give a palindrome (84948).

The spelling of 84148800 in words is "eighty-four million, one hundred forty-eight thousand, eight hundred".