803616 has 48 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 243200.

The previous prime is 803611. The next prime is 803623. The reversal of 803616 is 616308.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (803611) 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, 676 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

2⁸⁰³⁶¹⁶ 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 803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

803616 is an abundant number, since it is smaller than the sum of its proper divisors (1500672).

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

803616 is a wasteful number, since it uses less digits than its factorization.

803616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 803616 is about 896.4463174111. The cubic root of 803616 is about 92.9714330111.

The spelling of 803616 in words is "eight hundred three thousand, six hundred sixteen".