621768 has 32 divisors (see below), whose sum is σ = 1776960. Its totient is φ = 177600.

The previous prime is 621757. The next prime is 621769. The reversal of 621768 is 867126.

It is a happy number.

621768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (621769) by changing a digit.

621768 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, 1683 + ... + 2018.

It is an arithmetic number, because the mean of its divisors is an integer number (55530).

2⁶²¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

621768 is an abundant number, since it is smaller than the sum of its proper divisors (1155192).

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

621768 is a wasteful number, since it uses less digits than its factorization.

621768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 621768 is about 788.5226693000. The cubic root of 621768 is about 85.3511654357.

It can be divided in two parts, 62 and 1768, that added together give a triangular number (1830 = T₆₀).

The spelling of 621768 in words is "six hundred twenty-one thousand, seven hundred sixty-eight".