84884160 has 112 divisors (see below), whose sum is σ = 278892000. Its totient is φ = 21848064.

The previous prime is 84884119. The next prime is 84884161. The reversal of 84884160 is 6148848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84884161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26316 + ... + 29364.

Almost surely, 2^84884160 is an apocalyptic number.

84884160 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 84884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139446000).

84884160 is an abundant number, since it is smaller than the sum of its proper divisors (194007840).

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

84884160 is a wasteful number, since it uses less digits than its factorization.

84884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 84884160 is about 9213.2600093561. The cubic root of 84884160 is about 439.4831396473.

The spelling of 84884160 in words is "eighty-four million, eight hundred eighty-four thousand, one hundred sixty".