803356632 has 192 divisors, whose sum is σ = 2489760000. Its totient is φ = 231973632.

The previous prime is 803356553. The next prime is 803356633. The reversal of 803356632 is 236653308.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803356633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3538903 + ... + 3539129.

It is an arithmetic number, because the mean of its divisors is an integer number (12967500).

Almost surely, 2^803356632 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 803356632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880000).

803356632 is an abundant number, since it is smaller than the sum of its proper divisors (1686403368).

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

803356632 is a wasteful number, since it uses less digits than its factorization.

803356632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 803356632 is about 28343.5465670759. The cubic root of 803356632 is about 929.6142972207.

It can be divided in two parts, 803 and 356632, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 803356632 in words is "eight hundred three million, three hundred fifty-six thousand, six hundred thirty-two".