815056 has 30 divisors (see below), whose sum is σ = 1739906. Its totient is φ = 369600.

The previous prime is 815053. The next prime is 815063. The reversal of 815056 is 650518.

815056 = T₁₂₃ + T₁₂₄ + ... + T₁₈₈.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 379456 = 660^2 + 616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 815056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1726 + ... + 2146.

2⁸¹⁵⁰⁵⁶ 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 815056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869953).

815056 is an abundant number, since it is smaller than the sum of its proper divisors (924850).

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

815056 is a wasteful number, since it uses less digits than its factorization.

815056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 815056 is about 902.8045192621. The cubic root of 815056 is about 93.4105257087.

The spelling of 815056 in words is "eight hundred fifteen thousand, fifty-six".