1023616 has 32 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 464640.

The previous prime is 1023601. The next prime is 1023643. The reversal of 1023616 is 6163201.

1023616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1023593 and 1023602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1045 + ... + 1771.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^1023616 is an apocalyptic number.

1023616 is a gapful number since it is divisible by the number (16) 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 1023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

1023616 is an abundant number, since it is smaller than the sum of its proper divisors (1204064).

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

1023616 is an equidigital number, since it uses as much as digits as its factorization.

1023616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1023616 is about 1011.7390968031. The cubic root of 1023616 is about 100.7810832059.

Adding to 1023616 its reverse (6163201), we get a palindrome (7186817).

The spelling of 1023616 in words is "one million, twenty-three thousand, six hundred sixteen".