83848608 has 144 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 27164160.

The previous prime is 83848601. The next prime is 83848613. The reversal of 83848608 is 80684838.

83848608 is a `hidden beast` number, since 8 + 38 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (83848601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318685 + ... + 318947.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 2^83848608 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 83848608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

83848608 is an abundant number, since it is smaller than the sum of its proper divisors (170421408).

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

83848608 is a wasteful number, since it uses less digits than its factorization.

83848608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 83848608 is about 9156.8885545255. Note that the first 3 decimals coincide. The cubic root of 83848608 is about 437.6886509409.

The spelling of 83848608 in words is "eighty-three million, eight hundred forty-eight thousand, six hundred eight".