646272 has 128 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 184320.

The previous prime is 646271. The next prime is 646273. The reversal of 646272 is 272646.

It is an interprime number because it is at equal distance from previous prime (646271) and next prime (646273).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38008 + ... + 38024.

2⁶⁴⁶²⁷² 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 646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

646272 is an abundant number, since it is smaller than the sum of its proper divisors (1556928).

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

646272 is a wasteful number, since it uses less digits than its factorization.

646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 646272 is about 803.9104427733. The cubic root of 646272 is about 86.4579857666.

It can be divided in two parts, 64 and 6272, that added together give a palindrome (6336).

The spelling of 646272 in words is "six hundred forty-six thousand, two hundred seventy-two".