84611648 has 56 divisors (see below), whose sum is σ = 189122304. Its totient is φ = 37209600.

The previous prime is 84611627. The next prime is 84611699.

84611648 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19886 + ... + 23762.

It is an arithmetic number, because the mean of its divisors is an integer number (3377184).

Almost surely, 2^84611648 is an apocalyptic number.

84611648 is a gapful number since it is divisible by the number (88) 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 84611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94561152).

84611648 is an abundant number, since it is smaller than the sum of its proper divisors (104510656).

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

84611648 is a wasteful number, since it uses less digits than its factorization.

84611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3921 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 84611648 is about 9198.4590013763. The cubic root of 84611648 is about 439.0123300865.

The spelling of 84611648 in words is "eighty-four million, six hundred eleven thousand, six hundred forty-eight".