4202064 has 80 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 1370880.

The previous prime is 4202063. The next prime is 4202069. The reversal of 4202064 is 4602024.

4202064 = T₁₇₆ + T₁₇₇ + ... + T₃₁₂.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202063) by changing a digit.

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, 30604 + ... + 30740.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^4202064 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 4202064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

4202064 is an abundant number, since it is smaller than the sum of its proper divisors (8118576).

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

4202064 is a wasteful number, since it uses less digits than its factorization.

4202064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202064 is about 2049.8936557783. The cubic root of 4202064 is about 161.3692897721.

Adding to 4202064 its reverse (4602024), we get a palindrome (8804088).

The spelling of 4202064 in words is "four million, two hundred two thousand, sixty-four".