4172064 has 48 divisors (see below), whose sum is σ = 11797632. Its totient is φ = 1283328.

The previous prime is 4172059. The next prime is 4172071. The reversal of 4172064 is 4602714.

4172064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4172064² = 34812236040192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 2^4172064 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 4172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898816).

4172064 is an abundant number, since it is smaller than the sum of its proper divisors (7625568).

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

4172064 is a wasteful number, since it uses less digits than its factorization.

4172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4172064 is about 2042.5630957207. The cubic root of 4172064 is about 160.9843483621.

Adding to 4172064 its reverse (4602714), we get a palindrome (8774778).

The spelling of 4172064 in words is "four million, one hundred seventy-two thousand, sixty-four".