620672 has 32 divisors (see below), whose sum is σ = 1335180. Its totient is φ = 285696.

The previous prime is 620671. The next prime is 620689. The reversal of 620672 is 276026.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 602176 + 18496 = 776^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 620672.

It is not an unprimeable number, because it can be changed into a prime (620671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1478 + ... + 1850.

2⁶²⁰⁶⁷² 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 620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667590).

620672 is an abundant number, since it is smaller than the sum of its proper divisors (714508).

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

620672 is a wasteful number, since it uses less digits than its factorization.

620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 620672 is about 787.8273922631. The cubic root of 620672 is about 85.3009860035.

Adding to 620672 its reverse (276026), we get a palindrome (896698).

The spelling of 620672 in words is "six hundred twenty thousand, six hundred seventy-two".