84300160 has 128 divisors (see below), whose sum is σ = 238141440. Its totient is φ = 27924480.

The previous prime is 84300133. The next prime is 84300173. The reversal of 84300160 is 6100348.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 138577 + ... + 139183.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 2^84300160 is an apocalyptic number.

84300160 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 84300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070720).

84300160 is an abundant number, since it is smaller than the sum of its proper divisors (153841280).

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

84300160 is a wasteful number, since it uses less digits than its factorization.

84300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 84300160 is about 9181.5118580765. The cubic root of 84300160 is about 438.4729432678.

The spelling of 84300160 in words is "eighty-four million, three hundred thousand, one hundred sixty".