803561616 has 120 divisors (see below), whose sum is σ = 2642080896. Its totient is φ = 224766720.

The previous prime is 803561611. The next prime is 803561657. The reversal of 803561616 is 616165308.

It is a happy number.

803561616 is a `hidden beast` number, since 8 + 0 + 35 + 6 + 1 + 616 = 666.

It is a super-2 number, since 2×803561616² = 1291422541417062912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (803561611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081 + ... + 40103.

Almost surely, 2^803561616 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 803561616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321040448).

803561616 is an abundant number, since it is smaller than the sum of its proper divisors (1838519280).

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

803561616 is a wasteful number, since it uses less digits than its factorization.

803561616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39061 (or 39052 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 803561616 is about 28347.1623976722. The cubic root of 803561616 is about 929.6933571070.

The spelling of 803561616 in words is "eight hundred three million, five hundred sixty-one thousand, six hundred sixteen".