621936 has 60 divisors (see below), whose sum is σ = 1992432. Its totient is φ = 177408.

The previous prime is 621923. The next prime is 621937. The reversal of 621936 is 639126.

It is a happy number.

621936 is a `hidden beast` number, since 621 + 9 + 36 = 666.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 621936.

It is not an unprimeable number, because it can be changed into a prime (621937) by changing a digit.

621936 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 11 ways as a sum of consecutive naturals, for example, 700 + ... + 1316.

2⁶²¹⁹³⁶ 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 621936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996216).

621936 is an abundant number, since it is smaller than the sum of its proper divisors (1370496).

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

621936 is a wasteful number, since it uses less digits than its factorization.

621936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 621936 is about 788.6291904311. The cubic root of 621936 is about 85.3588519600.

The spelling of 621936 in words is "six hundred twenty-one thousand, nine hundred thirty-six".