803836572 has 288 divisors, whose sum is σ = 2598543360. Its totient is φ = 190512000.

The previous prime is 803836547. The next prime is 803836573. The reversal of 803836572 is 275638308.

It is a super-2 number, since 2×803836572² = 1292306468969422368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803836573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3809547 + ... + 3809757.

It is an arithmetic number, because the mean of its divisors is an integer number (9022720).

Almost surely, 2^803836572 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 803836572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299271680).

803836572 is an abundant number, since it is smaller than the sum of its proper divisors (1794706788).

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

803836572 is a wasteful number, since it uses less digits than its factorization.

803836572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 803836572 is about 28352.0117804716. The cubic root of 803836572 is about 929.7993832500.

It can be divided in two parts, 803836 and 572, that added together give a palindrome (804408).

The spelling of 803836572 in words is "eight hundred three million, eight hundred thirty-six thousand, five hundred seventy-two".