621888 has 56 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 199680.

The previous prime is 621883. The next prime is 621893. The reversal of 621888 is 888126.

It is an interprime number because it is at equal distance from previous prime (621883) and next prime (621893).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621883) by changing a digit.

621888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7833 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁶²¹⁸⁸⁸ 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 621888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

621888 is an abundant number, since it is smaller than the sum of its proper divisors (1084992).

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

621888 is a wasteful number, since it uses less digits than its factorization.

621888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 621888 is about 788.5987572904. The cubic root of 621888 is about 85.3566559515.

It can be divided in two parts, 6 and 21888, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 621888 in words is "six hundred twenty-one thousand, eight hundred eighty-eight".