621288 has 24 divisors (see below), whose sum is σ = 1682850. Its totient is φ = 207072.

The previous prime is 621259. The next prime is 621289. The reversal of 621288 is 882126.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 161604 = 678^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (621289) by changing a digit.

621288 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4243 + ... + 4386.

2⁶²¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

621288 is an abundant number, since it is smaller than the sum of its proper divisors (1061562).

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

621288 is a wasteful number, since it uses less digits than its factorization.

621288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8634 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 621288 is about 788.2182438893. The cubic root of 621288 is about 85.3291963055.

It can be divided in two parts, 621 and 288, that added together give a palindrome (909).

The spelling of 621288 in words is "six hundred twenty-one thousand, two hundred eighty-eight".