84848000 has 64 divisors (see below), whose sum is σ = 210993120. Its totient is φ = 33932800.

The previous prime is 84847967. The next prime is 84848009. The reversal of 84848000 is 84848.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84848009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13349 + ... + 18651.

Almost surely, 2^84848000 is an apocalyptic number.

84848000 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 84848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105496560).

84848000 is an abundant number, since it is smaller than the sum of its proper divisors (126145120).

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

84848000 is an equidigital number, since it uses as much as digits as its factorization.

84848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5310 counting only the distinct ones).

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

The square root of 84848000 is about 9211.2974113314. The cubic root of 84848000 is about 439.4207253035.

84848000 divided by its reverse (84848) gives a cube (1000 = 10³).

The spelling of 84848000 in words is "eighty-four million, eight hundred forty-eight thousand".