641328 has 40 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 206400.

The previous prime is 641327. The next prime is 641371. The reversal of 641328 is 823146.

It is a happy number.

It is a super-2 number, since 2×641328² = 822603207168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 641298 and 641307.

It is not an unprimeable number, because it can be changed into a prime (641327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273 + ... + 1703.

2⁶⁴¹³²⁸ 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 641328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

641328 is an abundant number, since it is smaller than the sum of its proper divisors (1072848).

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

641328 is a wasteful number, since it uses less digits than its factorization.

641328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 641328 is about 800.8295698836. The cubic root of 641328 is about 86.2369524477.

It can be divided in two parts, 6413 and 28, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 641328 in words is "six hundred forty-one thousand, three hundred twenty-eight".