623280 has 120 divisors (see below), whose sum is σ = 2290032. Its totient is φ = 139776.

The previous prime is 623279. The next prime is 623281. The reversal of 623280 is 82326.

It is an interprime number because it is at equal distance from previous prime (623279) and next prime (623281).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (623281) 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 23 ways as a sum of consecutive naturals, for example, 11734 + ... + 11786.

2⁶²³²⁸⁰ is an apocalyptic number.

623280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145016).

623280 is an abundant number, since it is smaller than the sum of its proper divisors (1666752).

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

623280 is a wasteful number, since it uses less digits than its factorization.

623280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

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

The square root of 623280 is about 789.4808420728. The cubic root of 623280 is about 85.4202943796.

It can be divided in two parts, 623 and 280, that added together give a triangular number (903 = T₄₂).

The spelling of 623280 in words is "six hundred twenty-three thousand, two hundred eighty".