623520 has 72 divisors (see below), whose sum is σ = 2132676. Its totient is φ = 165888.

The previous prime is 623477. The next prime is 623521. The reversal of 623520 is 25326.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 51984 = 756^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 6⁴ + 2⁷ + 5⁷ + 3⁹ + 2¹⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 623493 and 623502.

It is not an unprimeable number, because it can be changed into a prime (623521) by changing a digit.

623520 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1224 + ... + 1656.

2⁶²³⁵²⁰ is an apocalyptic number.

623520 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 623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066338).

623520 is an abundant number, since it is smaller than the sum of its proper divisors (1509156).

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

623520 is a wasteful number, since it uses less digits than its factorization.

623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 623520 is about 789.6328260654. The cubic root of 623520 is about 85.4312569432.

Adding to 623520 its reverse (25326), we get a palindrome (648846).

The spelling of 623520 in words is "six hundred twenty-three thousand, five hundred twenty".