84648128 has 56 divisors (see below), whose sum is σ = 173809152. Its totient is φ = 40880384.

The previous prime is 84648121. The next prime is 84648133. The reversal of 84648128 is 82184648.

It is not an unprimeable number, because it can be changed into a prime (84648121) 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, 321725 + ... + 321987.

Almost surely, 2^84648128 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 84648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86904576).

84648128 is an abundant number, since it is smaller than the sum of its proper divisors (89161024).

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

84648128 is a wasteful number, since it uses less digits than its factorization.

84648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 84648128 is about 9200.4417285259. The cubic root of 84648128 is about 439.0754138702.

The spelling of 84648128 in words is "eighty-four million, six hundred forty-eight thousand, one hundred twenty-eight".