84288000 has 160 divisors (see below), whose sum is σ = 280874880. Its totient is φ = 22425600.

The previous prime is 84287993. The next prime is 84288013. The reversal of 84288000 is 88248.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191781 + ... + 192219.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 2^84288000 is an apocalyptic number.

84288000 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 84288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

84288000 is an abundant number, since it is smaller than the sum of its proper divisors (196586880).

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

84288000 is an equidigital number, since it uses as much as digits as its factorization.

84288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 84288000 is about 9180.8496338847. The cubic root of 84288000 is about 438.4518595302.

The spelling of 84288000 in words is "eighty-four million, two hundred eighty-eight thousand".