621264 has 60 divisors (see below), whose sum is σ = 1877856. Its totient is φ = 173376.

The previous prime is 621259. The next prime is 621289. The reversal of 621264 is 462126.

It is a happy number.

621264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 621264.

It is a congruent number.

It is an unprimeable number.

621264 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 11 ways as a sum of consecutive naturals, for example, 14427 + ... + 14469.

2⁶²¹²⁶⁴ 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 621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938928).

621264 is an abundant number, since it is smaller than the sum of its proper divisors (1256592).

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

621264 is a wasteful number, since it uses less digits than its factorization.

621264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 621264 is about 788.2030195324. The cubic root of 621264 is about 85.3280975520.

Multiplying 621264 by its sum of digits (21), we get a square (13046544 = 3612²).

621264 divided by its sum of digits (21) gives a square (29584 = 172²).

It can be divided in two parts, 62 and 1264, that added together give a triangular number (1326 = T₅₁).

The spelling of 621264 in words is "six hundred twenty-one thousand, two hundred sixty-four".