827361216 has 210 divisors, whose sum is σ = 2697830520. Its totient is φ = 250525440.

The previous prime is 827361203. The next prime is 827361247. The reversal of 827361216 is 612163728.

827361216 is a `hidden beast` number, since 8 + 27 + 3 + 612 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 626605 + ... + 627923.

It is an arithmetic number, because the mean of its divisors is an integer number (12846812).

Almost surely, 2^827361216 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 827361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348915260).

827361216 is an abundant number, since it is smaller than the sum of its proper divisors (1870469304).

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

827361216 is a wasteful number, since it uses less digits than its factorization.

827361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1335 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 827361216 is about 28763.8873589784. The cubic root of 827361216 is about 938.7826462595.

The spelling of 827361216 in words is "eight hundred twenty-seven million, three hundred sixty-one thousand, two hundred sixteen".