827361144 has 48 divisors (see below), whose sum is σ = 2301338520. Its totient is φ = 268332480.

The previous prime is 827361133. The next prime is 827361149. The reversal of 827361144 is 441163728.

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

It is a junction number, because it is equal to n+sod(n) for n = 827361099 and 827361108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827361149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152622 + ... + 157949.

Almost surely, 2^827361144 is an apocalyptic number.

It is an amenable number.

827361144 is an abundant number, since it is smaller than the sum of its proper divisors (1473977376).

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

827361144 is a wasteful number, since it uses less digits than its factorization.

827361144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310620 (or 310613 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 827361144 is about 28763.8861074091. The cubic root of 827361144 is about 938.7826190274.

The spelling of 827361144 in words is "eight hundred twenty-seven million, three hundred sixty-one thousand, one hundred forty-four".