641024 has 24 divisors (see below), whose sum is σ = 1285830. Its totient is φ = 319488.

The previous prime is 640993. The next prime is 641051. The reversal of 641024 is 420146.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 1024 = 800^2 + 32^2 .

It is a junction number, because it is equal to n+sod(n) for n = 640993 and 641011.

It is an unprimeable number.

641024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1892 + ... + 2204.

2⁶⁴¹⁰²⁴ is an apocalyptic number.

641024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642915).

641024 is an abundant number, since it is smaller than the sum of its proper divisors (644806).

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

641024 is an equidigital number, since it uses as much as digits as its factorization.

641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 641024 is about 800.6397442046. The cubic root of 641024 is about 86.2233243837.

It can be divided in two parts, 64 and 1024, that multiplied together give a 16-th power (65536 = 2¹⁶).

The spelling of 641024 in words is "six hundred forty-one thousand, twenty-four".