84354116 has 48 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 32533920.

The previous prime is 84354107. The next prime is 84354121. The reversal of 84354116 is 61145348.

It is a super-2 number, since 2×84354116² = 14231233772282912, which contains 22 as substring.

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, 30395 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^84354116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84354116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92951040).

84354116 is an abundant number, since it is smaller than the sum of its proper divisors (101547964).

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

84354116 is a wasteful number, since it uses less digits than its factorization.

84354116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2782 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 84354116 is about 9184.4496841128. The cubic root of 84354116 is about 438.5664709688.

The spelling of 84354116 in words is "eighty-four million, three hundred fifty-four thousand, one hundred sixteen".