84134064 has 80 divisors (see below), whose sum is σ = 249666560. Its totient is φ = 23915520.

The previous prime is 84134053. The next prime is 84134107. The reversal of 84134064 is 46043148.

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, 80457 + ... + 81495.

It is an arithmetic number, because the mean of its divisors is an integer number (3120832).

Almost surely, 2^84134064 is an apocalyptic number.

84134064 is a gapful number since it is divisible by the number (84) 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 84134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833280).

84134064 is an abundant number, since it is smaller than the sum of its proper divisors (165532496).

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

84134064 is a wasteful number, since it uses less digits than its factorization.

84134064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 84134064 is about 9172.4622648447. The cubic root of 84134064 is about 438.1847805659.

The spelling of 84134064 in words is "eighty-four million, one hundred thirty-four thousand, sixty-four".