84368000 has 64 divisors (see below), whose sum is σ = 209799720. Its totient is φ = 33740800.

The previous prime is 84367993. The next prime is 84368017. The reversal of 84368000 is 86348.

It can be written as a sum of positive squares in 4 ways, for example, as 24522304 + 59845696 = 4952^2 + 7736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13364 + ... + 18636.

Almost surely, 2^84368000 is an apocalyptic number.

84368000 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 84368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104899860).

84368000 is an abundant number, since it is smaller than the sum of its proper divisors (125431720).

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

84368000 is an equidigital number, since it uses as much as digits as its factorization.

84368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 84368000 is about 9185.2054957959. The cubic root of 84368000 is about 438.5905311377.

The spelling of 84368000 in words is "eighty-four million, three hundred sixty-eight thousand".