620928 has 144 divisors (see below), whose sum is σ = 2267460. Its totient is φ = 161280.

The previous prime is 620911. The next prime is 620929. The reversal of 620928 is 829026.

It is a tau number, because it is divible by the number of its divisors (144).

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 620928.

It is not an unprimeable number, because it can be changed into a prime (620929) by changing a digit.

620928 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 17 ways as a sum of consecutive naturals, for example, 56443 + ... + 56453.

2⁶²⁰⁹²⁸ 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 620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133730).

620928 is an abundant number, since it is smaller than the sum of its proper divisors (1646532).

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

620928 is a wasteful number, since it uses less digits than its factorization.

620928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 620928 is about 787.9898476503. The cubic root of 620928 is about 85.3127120310.

The spelling of 620928 in words is "six hundred twenty thousand, nine hundred twenty-eight".