84109120 has 56 divisors (see below), whose sum is σ = 203325984. Its totient is φ = 33133056.

The previous prime is 84109093. The next prime is 84109121. The reversal of 84109120 is 2190148.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84109121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19479 + ... + 23401.

Almost surely, 2^84109120 is an apocalyptic number.

84109120 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 84109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101662992).

84109120 is an abundant number, since it is smaller than the sum of its proper divisors (119216864).

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

84109120 is a wasteful number, since it uses less digits than its factorization.

84109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 84109120 is about 9171.1024419096. The cubic root of 84109120 is about 438.1414720612.

Adding to 84109120 its reverse (2190148), we get a palindrome (86299268).

The spelling of 84109120 in words is "eighty-four million, one hundred nine thousand, one hundred twenty".