803361564 has 60 divisors (see below), whose sum is σ = 2119864824. Its totient is φ = 265273056.

The previous prime is 803361547. The next prime is 803361577. The reversal of 803361564 is 465163308.

803361564 is a `hidden beast` number, since 8 + 0 + 33 + 61 + 564 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23082 + ... + 46254.

Almost surely, 2^803361564 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 803361564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059932412).

803361564 is an abundant number, since it is smaller than the sum of its proper divisors (1316503260).

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

803361564 is a wasteful number, since it uses less digits than its factorization.

803361564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23296 (or 23285 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 803361564 is about 28343.6335708744. The cubic root of 803361564 is about 929.6161995922.

The spelling of 803361564 in words is "eight hundred three million, three hundred sixty-one thousand, five hundred sixty-four".