623616 has 88 divisors (see below), whose sum is σ = 1965120. Its totient is φ = 172032.

The previous prime is 623591. The next prime is 623617. The reversal of 623616 is 616326.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 16.

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 623616.

It is not an unprimeable number, because it can be changed into a prime (623617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21490 + ... + 21518.

2⁶²³⁶¹⁶ 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 623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982560).

623616 is an abundant number, since it is smaller than the sum of its proper divisors (1341504).

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

623616 is a wasteful number, since it uses less digits than its factorization.

623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 623616 is about 789.6936114722. The cubic root of 623616 is about 85.4356411809.

The spelling of 623616 in words is "six hundred twenty-three thousand, six hundred sixteen".