84548800 has 84 divisors (see below), whose sum is σ = 237794800. Its totient is φ = 28984320.

The previous prime is 84548791. The next prime is 84548801. The reversal of 84548800 is 884548.

It is a self number, because there is not a number n which added to its sum of digits gives 84548800.

It is not an unprimeable number, because it can be changed into a prime (84548801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7426 + ... + 14974.

Almost surely, 2^84548800 is an apocalyptic number.

84548800 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 84548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118897400).

84548800 is an abundant number, since it is smaller than the sum of its proper divisors (153246000).

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

84548800 is a wasteful number, since it uses less digits than its factorization.

84548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 84548800 is about 9195.0421423722. The cubic root of 84548800 is about 438.9036063596.

The spelling of 84548800 in words is "eighty-four million, five hundred forty-eight thousand, eight hundred".