4208064 has 112 divisors (see below), whose sum is σ = 13264896. Its totient is φ = 1152000.

The previous prime is 4208059. The next prime is 4208077. The reversal of 4208064 is 4608024.

4208064 = T₃₃₇ + T₃₃₈ + ... + T₃₉₈.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41614 + ... + 41714.

Almost surely, 2^4208064 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 4208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632448).

4208064 is an abundant number, since it is smaller than the sum of its proper divisors (9056832).

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

4208064 is a wasteful number, since it uses less digits than its factorization.

4208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4208064 is about 2051.3566242855. The cubic root of 4208064 is about 161.4460580202.

The spelling of 4208064 in words is "four million, two hundred eight thousand, sixty-four".