84075120 has 120 divisors (see below), whose sum is σ = 294686496. Its totient is φ = 21441024.

The previous prime is 84075113. The next prime is 84075157. The reversal of 84075120 is 2157048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14022 + ... + 19098.

Almost surely, 2^84075120 is an apocalyptic number.

84075120 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 84075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147343248).

84075120 is an abundant number, since it is smaller than the sum of its proper divisors (210611376).

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

84075120 is a wasteful number, since it uses less digits than its factorization.

84075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 84075120 is about 9169.2486060745. The cubic root of 84075120 is about 438.0824264714.

The spelling of 84075120 in words is "eighty-four million, seventy-five thousand, one hundred twenty".