803126016 has 360 divisors, whose sum is σ = 2991631104. Its totient is φ = 208189440.

The previous prime is 803125987. The next prime is 803126017. The reversal of 803126016 is 610621308.

It is a super-2 number, since 2×803126016² = 1290022795152064512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803126017) 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 39 ways as a sum of consecutive naturals, for example, 1596421 + ... + 1596923.

Almost surely, 2^803126016 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 803126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495815552).

803126016 is an abundant number, since it is smaller than the sum of its proper divisors (2188505088).

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

803126016 is a wasteful number, since it uses less digits than its factorization.

803126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 803126016 is about 28339.4780474165. The cubic root of 803126016 is about 929.5253352995.

The spelling of 803126016 in words is "eight hundred three million, one hundred twenty-six thousand, sixteen".